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Finding the Fourth Proportional to 89,423.50, 133,931.13 and 42,709.18

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Solution

The fourth proportional to 89,423.50, 133,931.13 and 42,709.18 is: 63,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,423.50 : 133,931.13 = 42,709.18 : x
  2. Step 2: Convert to fraction form
    89,423.50/133,931.13 = 42,709.18/x
  3. Step 3: Cross multiply
    89,423.50x = 133,931.13 × 42,709.18
  4. Step 4: Simplify right side
    89,423.50x = 5,720,088,738.77
  5. Step 5: Solve for x
    x = 5,720,088,738.77/89,423.50
  6. Step 6: Final answer
    x = 63,966.28

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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.