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Finding the Fourth Proportional to 65,287.16, 90,123.86 and 44,095.14

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Solution

The fourth proportional to 65,287.16, 90,123.86 and 44,095.14 is: 60,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,287.16 : 90,123.86 = 44,095.14 : x
  2. Step 2: Convert to fraction form
    65,287.16/90,123.86 = 44,095.14/x
  3. Step 3: Cross multiply
    65,287.16x = 90,123.86 × 44,095.14
  4. Step 4: Simplify right side
    65,287.16x = 3,974,024,224.04
  5. Step 5: Solve for x
    x = 3,974,024,224.04/65,287.16
  6. Step 6: Final answer
    x = 60,869.92

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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.