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Finding the Fourth Proportional to 77,505.77, 116,269.59 and 24,897.62

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Solution

The fourth proportional to 77,505.77, 116,269.59 and 24,897.62 is: 37,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,505.77 : 116,269.59 = 24,897.62 : x
  2. Step 2: Convert to fraction form
    77,505.77/116,269.59 = 24,897.62/x
  3. Step 3: Cross multiply
    77,505.77x = 116,269.59 × 24,897.62
  4. Step 4: Simplify right side
    77,505.77x = 2,894,836,069.38
  5. Step 5: Solve for x
    x = 2,894,836,069.38/77,505.77
  6. Step 6: Final answer
    x = 37,349.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.