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Finding the Fourth Proportional to 32,396, 48,594 and 10,508

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Solution

The fourth proportional to 32,396, 48,594 and 10,508 is: 15,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396 : 48,594 = 10,508 : x
  2. Step 2: Convert to fraction form
    32,396/48,594 = 10,508/x
  3. Step 3: Cross multiply
    32,396x = 48,594 × 10,508
  4. Step 4: Simplify right side
    32,396x = 510,625,752
  5. Step 5: Solve for x
    x = 510,625,752/32,396
  6. Step 6: Final answer
    x = 15,762

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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.