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Finding the Fourth Proportional to 32,981,510.82, 49,472,647.11 and 9,952,644.86

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Solution

The fourth proportional to 32,981,510.82, 49,472,647.11 and 9,952,644.86 is: 14,929,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981,510.82 : 49,472,647.11 = 9,952,644.86 : x
  2. Step 2: Convert to fraction form
    32,981,510.82/49,472,647.11 = 9,952,644.86/x
  3. Step 3: Cross multiply
    32,981,510.82x = 49,472,647.11 × 9,952,644.86
  4. Step 4: Simplify right side
    32,981,510.82x = 492,383,686,722,572.12
  5. Step 5: Solve for x
    x = 492,383,686,722,572.12/32,981,510.82
  6. Step 6: Final answer
    x = 14,929,082.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.