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Finding the Fourth Proportional to 32,841.60, 49,265.28 and 12,065.28

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Solution

The fourth proportional to 32,841.60, 49,265.28 and 12,065.28 is: 18,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.60 : 49,265.28 = 12,065.28 : x
  2. Step 2: Convert to fraction form
    32,841.60/49,265.28 = 12,065.28/x
  3. Step 3: Cross multiply
    32,841.60x = 49,265.28 × 12,065.28
  4. Step 4: Simplify right side
    32,841.60x = 594,399,397.48
  5. Step 5: Solve for x
    x = 594,399,397.48/32,841.60
  6. Step 6: Final answer
    x = 18,098.98

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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.