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Finding the Fourth Proportional to 29,530.52, 40,752.42 and 17,594

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Solution

The fourth proportional to 29,530.52, 40,752.42 and 17,594 is: 24,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,530.52 : 40,752.42 = 17,594 : x
  2. Step 2: Convert to fraction form
    29,530.52/40,752.42 = 17,594/x
  3. Step 3: Cross multiply
    29,530.52x = 40,752.42 × 17,594
  4. Step 4: Simplify right side
    29,530.52x = 716,998,077.48
  5. Step 5: Solve for x
    x = 716,998,077.48/29,530.52
  6. Step 6: Final answer
    x = 24,279.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.