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Finding the Fourth Proportional to 32,498.59, 48,747.90 and 11,722.09

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Solution

The fourth proportional to 32,498.59, 48,747.90 and 11,722.09 is: 17,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,498.59 : 48,747.90 = 11,722.09 : x
  2. Step 2: Convert to fraction form
    32,498.59/48,747.90 = 11,722.09/x
  3. Step 3: Cross multiply
    32,498.59x = 48,747.90 × 11,722.09
  4. Step 4: Simplify right side
    32,498.59x = 571,427,271.11
  5. Step 5: Solve for x
    x = 571,427,271.11/32,498.59
  6. Step 6: Final answer
    x = 17,583.14

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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.