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Finding the Fourth Proportional to 94,773.16, 130,782.09 and 54,458.38

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Solution

The fourth proportional to 94,773.16, 130,782.09 and 54,458.38 is: 75,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,773.16 : 130,782.09 = 54,458.38 : x
  2. Step 2: Convert to fraction form
    94,773.16/130,782.09 = 54,458.38/x
  3. Step 3: Cross multiply
    94,773.16x = 130,782.09 × 54,458.38
  4. Step 4: Simplify right side
    94,773.16x = 7,122,180,754.41
  5. Step 5: Solve for x
    x = 7,122,180,754.41/94,773.16
  6. Step 6: Final answer
    x = 75,149.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.