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Finding the Fourth Proportional to 32,495, 44,843.10 and 17,591

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Solution

The fourth proportional to 32,495, 44,843.10 and 17,591 is: 24,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495 : 44,843.10 = 17,591 : x
  2. Step 2: Convert to fraction form
    32,495/44,843.10 = 17,591/x
  3. Step 3: Cross multiply
    32,495x = 44,843.10 × 17,591
  4. Step 4: Simplify right side
    32,495x = 788,834,972.10
  5. Step 5: Solve for x
    x = 788,834,972.10/32,495
  6. Step 6: Final answer
    x = 24,275.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.