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Finding the Fourth Proportional to 32,798.71, 49,194.42 and 11,737.90

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Solution

The fourth proportional to 32,798.71, 49,194.42 and 11,737.90 is: 17,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.71 : 49,194.42 = 11,737.90 : x
  2. Step 2: Convert to fraction form
    32,798.71/49,194.42 = 11,737.90/x
  3. Step 3: Cross multiply
    32,798.71x = 49,194.42 × 11,737.90
  4. Step 4: Simplify right side
    32,798.71x = 577,439,182.52
  5. Step 5: Solve for x
    x = 577,439,182.52/32,798.71
  6. Step 6: Final answer
    x = 17,605.55

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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.