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Finding the Fourth Proportional to 77,505.78, 116,269.60 and 24,897.62

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Solution

The fourth proportional to 77,505.78, 116,269.60 and 24,897.62 is: 37,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,505.78 : 116,269.60 = 24,897.62 : x
  2. Step 2: Convert to fraction form
    77,505.78/116,269.60 = 24,897.62/x
  3. Step 3: Cross multiply
    77,505.78x = 116,269.60 × 24,897.62
  4. Step 4: Simplify right side
    77,505.78x = 2,894,836,318.35
  5. Step 5: Solve for x
    x = 2,894,836,318.35/77,505.78
  6. Step 6: Final answer
    x = 37,349.94

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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.