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Finding the Fourth Proportional to 65,331.84, 90,156.32 and 38,113.14

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Solution

The fourth proportional to 65,331.84, 90,156.32 and 38,113.14 is: 52,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,331.84 : 90,156.32 = 38,113.14 : x
  2. Step 2: Convert to fraction form
    65,331.84/90,156.32 = 38,113.14/x
  3. Step 3: Cross multiply
    65,331.84x = 90,156.32 × 38,113.14
  4. Step 4: Simplify right side
    65,331.84x = 3,436,140,446.04
  5. Step 5: Solve for x
    x = 3,436,140,446.04/65,331.84
  6. Step 6: Final answer
    x = 52,595.19

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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.