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Finding the Fourth Proportional to 34,387.84, 47,456.53 and 22,291.00

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Solution

The fourth proportional to 34,387.84, 47,456.53 and 22,291.00 is: 30,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,387.84 : 47,456.53 = 22,291.00 : x
  2. Step 2: Convert to fraction form
    34,387.84/47,456.53 = 22,291.00/x
  3. Step 3: Cross multiply
    34,387.84x = 47,456.53 × 22,291.00
  4. Step 4: Simplify right side
    34,387.84x = 1,057,853,461.25
  5. Step 5: Solve for x
    x = 1,057,853,461.25/34,387.84
  6. Step 6: Final answer
    x = 30,762.43

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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.