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Finding the Fourth Proportional to 30,587.80, 42,213.18 and 17,159.98

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Solution

The fourth proportional to 30,587.80, 42,213.18 and 17,159.98 is: 23,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587.80 : 42,213.18 = 17,159.98 : x
  2. Step 2: Convert to fraction form
    30,587.80/42,213.18 = 17,159.98/x
  3. Step 3: Cross multiply
    30,587.80x = 42,213.18 × 17,159.98
  4. Step 4: Simplify right side
    30,587.80x = 724,377,324.54
  5. Step 5: Solve for x
    x = 724,377,324.54/30,587.80
  6. Step 6: Final answer
    x = 23,681.90

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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.