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Finding the Fourth Proportional to 30,476.01, 42,053.09 and 17,732.64

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Solution

The fourth proportional to 30,476.01, 42,053.09 and 17,732.64 is: 24,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.01 : 42,053.09 = 17,732.64 : x
  2. Step 2: Convert to fraction form
    30,476.01/42,053.09 = 17,732.64/x
  3. Step 3: Cross multiply
    30,476.01x = 42,053.09 × 17,732.64
  4. Step 4: Simplify right side
    30,476.01x = 745,712,217.19
  5. Step 5: Solve for x
    x = 745,712,217.19/30,476.01
  6. Step 6: Final answer
    x = 24,468.83

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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.