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Finding the Fourth Proportional to 49,892.10, 74,838.15 and 49,892.10

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Solution

The fourth proportional to 49,892.10, 74,838.15 and 49,892.10 is: 74,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,892.10 : 74,838.15 = 49,892.10 : x
  2. Step 2: Convert to fraction form
    49,892.10/74,838.15 = 49,892.10/x
  3. Step 3: Cross multiply
    49,892.10x = 74,838.15 × 49,892.10
  4. Step 4: Simplify right side
    49,892.10x = 3,733,832,463.62
  5. Step 5: Solve for x
    x = 3,733,832,463.62/49,892.10
  6. Step 6: Final answer
    x = 74,838.15

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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.