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Finding the Fourth Proportional to 32,314, 48,471 and 10,426

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Solution

The fourth proportional to 32,314, 48,471 and 10,426 is: 15,639

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314 : 48,471 = 10,426 : x
  2. Step 2: Convert to fraction form
    32,314/48,471 = 10,426/x
  3. Step 3: Cross multiply
    32,314x = 48,471 × 10,426
  4. Step 4: Simplify right side
    32,314x = 505,358,646
  5. Step 5: Solve for x
    x = 505,358,646/32,314
  6. Step 6: Final answer
    x = 15,639

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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.