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Finding the Fourth Proportional to 30,734.40, 42,397.92 and 23,658.24

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Solution

The fourth proportional to 30,734.40, 42,397.92 and 23,658.24 is: 32,636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.40 : 42,397.92 = 23,658.24 : x
  2. Step 2: Convert to fraction form
    30,734.40/42,397.92 = 23,658.24/x
  3. Step 3: Cross multiply
    30,734.40x = 42,397.92 × 23,658.24
  4. Step 4: Simplify right side
    30,734.40x = 1,003,060,166.86
  5. Step 5: Solve for x
    x = 1,003,060,166.86/30,734.40
  6. Step 6: Final answer
    x = 32,636.40

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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.