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Finding the Fourth Proportional to 49,894.78, 74,854.13 and 16,615.13

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Solution

The fourth proportional to 49,894.78, 74,854.13 and 16,615.13 is: 24,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.78 : 74,854.13 = 16,615.13 : x
  2. Step 2: Convert to fraction form
    49,894.78/74,854.13 = 16,615.13/x
  3. Step 3: Cross multiply
    49,894.78x = 74,854.13 × 16,615.13
  4. Step 4: Simplify right side
    49,894.78x = 1,243,711,100.99
  5. Step 5: Solve for x
    x = 1,243,711,100.99/49,894.78
  6. Step 6: Final answer
    x = 24,926.68

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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.