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Finding the Fourth Proportional to 98,737.91, 148,107.28 and 31,270.29

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Solution

The fourth proportional to 98,737.91, 148,107.28 and 31,270.29 is: 46,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,737.91 : 148,107.28 = 31,270.29 : x
  2. Step 2: Convert to fraction form
    98,737.91/148,107.28 = 31,270.29/x
  3. Step 3: Cross multiply
    98,737.91x = 148,107.28 × 31,270.29
  4. Step 4: Simplify right side
    98,737.91x = 4,631,357,596.71
  5. Step 5: Solve for x
    x = 4,631,357,596.71/98,737.91
  6. Step 6: Final answer
    x = 46,905.57

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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.