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Finding the Fourth Proportional to 32,461, 48,691.50 and 10,573

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Solution

The fourth proportional to 32,461, 48,691.50 and 10,573 is: 15,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461 : 48,691.50 = 10,573 : x
  2. Step 2: Convert to fraction form
    32,461/48,691.50 = 10,573/x
  3. Step 3: Cross multiply
    32,461x = 48,691.50 × 10,573
  4. Step 4: Simplify right side
    32,461x = 514,815,229.50
  5. Step 5: Solve for x
    x = 514,815,229.50/32,461
  6. Step 6: Final answer
    x = 15,859.50

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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.