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Finding the Fourth Proportional to 67,652.34, 101,478.94 and 17,732.00

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Solution

The fourth proportional to 67,652.34, 101,478.94 and 17,732.00 is: 26,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,652.34 : 101,478.94 = 17,732.00 : x
  2. Step 2: Convert to fraction form
    67,652.34/101,478.94 = 17,732.00/x
  3. Step 3: Cross multiply
    67,652.34x = 101,478.94 × 17,732.00
  4. Step 4: Simplify right side
    67,652.34x = 1,799,424,439.03
  5. Step 5: Solve for x
    x = 1,799,424,439.03/67,652.34
  6. Step 6: Final answer
    x = 26,598.11

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Why These Related Problems?

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