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Finding the Fourth Proportional to 61,716, 92,578.32 and 24,780

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Solution

The fourth proportional to 61,716, 92,578.32 and 24,780 is: 37,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,716 : 92,578.32 = 24,780 : x
  2. Step 2: Convert to fraction form
    61,716/92,578.32 = 24,780/x
  3. Step 3: Cross multiply
    61,716x = 92,578.32 × 24,780
  4. Step 4: Simplify right side
    61,716x = 2,294,090,769.60
  5. Step 5: Solve for x
    x = 2,294,090,769.60/61,716
  6. Step 6: Final answer
    x = 37,171.73

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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.