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Finding the Fourth Proportional to 49,357.68, 74,044.20 and 16,518

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Solution

The fourth proportional to 49,357.68, 74,044.20 and 16,518 is: 24,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,357.68 : 74,044.20 = 16,518 : x
  2. Step 2: Convert to fraction form
    49,357.68/74,044.20 = 16,518/x
  3. Step 3: Cross multiply
    49,357.68x = 74,044.20 × 16,518
  4. Step 4: Simplify right side
    49,357.68x = 1,223,062,095.60
  5. Step 5: Solve for x
    x = 1,223,062,095.60/49,357.68
  6. Step 6: Final answer
    x = 24,779.57

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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.