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Finding the Fourth Proportional to 32,906.60, 49,365.03 and 10,714.82

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Solution

The fourth proportional to 32,906.60, 49,365.03 and 10,714.82 is: 16,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.60 : 49,365.03 = 10,714.82 : x
  2. Step 2: Convert to fraction form
    32,906.60/49,365.03 = 10,714.82/x
  3. Step 3: Cross multiply
    32,906.60x = 49,365.03 × 10,714.82
  4. Step 4: Simplify right side
    32,906.60x = 528,937,397.29
  5. Step 5: Solve for x
    x = 528,937,397.29/32,906.60
  6. Step 6: Final answer
    x = 16,073.90

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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.