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Finding the Fourth Proportional to 32,394, 48,591 and 10,506

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Solution

The fourth proportional to 32,394, 48,591 and 10,506 is: 15,759

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394 : 48,591 = 10,506 : x
  2. Step 2: Convert to fraction form
    32,394/48,591 = 10,506/x
  3. Step 3: Cross multiply
    32,394x = 48,591 × 10,506
  4. Step 4: Simplify right side
    32,394x = 510,497,046
  5. Step 5: Solve for x
    x = 510,497,046/32,394
  6. Step 6: Final answer
    x = 15,759

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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.