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Finding the Fourth Proportional to 30,265.49, 45,397.77 and 13,613.76

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Solution

The fourth proportional to 30,265.49, 45,397.77 and 13,613.76 is: 20,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,265.49 : 45,397.77 = 13,613.76 : x
  2. Step 2: Convert to fraction form
    30,265.49/45,397.77 = 13,613.76/x
  3. Step 3: Cross multiply
    30,265.49x = 45,397.77 × 13,613.76
  4. Step 4: Simplify right side
    30,265.49x = 618,034,345.32
  5. Step 5: Solve for x
    x = 618,034,345.32/30,265.49
  6. Step 6: Final answer
    x = 20,420.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.