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Finding the Fourth Proportional to 49,772.14, 74,657.28 and 12,332.30

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Solution

The fourth proportional to 49,772.14, 74,657.28 and 12,332.30 is: 18,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772.14 : 74,657.28 = 12,332.30 : x
  2. Step 2: Convert to fraction form
    49,772.14/74,657.28 = 12,332.30/x
  3. Step 3: Cross multiply
    49,772.14x = 74,657.28 × 12,332.30
  4. Step 4: Simplify right side
    49,772.14x = 920,695,818.33
  5. Step 5: Solve for x
    x = 920,695,818.33/49,772.14
  6. Step 6: Final answer
    x = 18,498.22

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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.