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Finding the Fourth Proportional to 44,773.76, 67,175.24 and 21,402

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Solution

The fourth proportional to 44,773.76, 67,175.24 and 21,402 is: 32,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,773.76 : 67,175.24 = 21,402 : x
  2. Step 2: Convert to fraction form
    44,773.76/67,175.24 = 21,402/x
  3. Step 3: Cross multiply
    44,773.76x = 67,175.24 × 21,402
  4. Step 4: Simplify right side
    44,773.76x = 1,437,684,486.48
  5. Step 5: Solve for x
    x = 1,437,684,486.48/44,773.76
  6. Step 6: Final answer
    x = 32,109.98

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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.