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Finding the Fourth Proportional to 32,650, 45,057 and 17,746

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Solution

The fourth proportional to 32,650, 45,057 and 17,746 is: 24,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650 : 45,057 = 17,746 : x
  2. Step 2: Convert to fraction form
    32,650/45,057 = 17,746/x
  3. Step 3: Cross multiply
    32,650x = 45,057 × 17,746
  4. Step 4: Simplify right side
    32,650x = 799,581,522
  5. Step 5: Solve for x
    x = 799,581,522/32,650
  6. Step 6: Final answer
    x = 24,489.48

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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.