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Finding the Fourth Proportional to 65,384.88, 98,061.12 and 18,638.16

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Solution

The fourth proportional to 65,384.88, 98,061.12 and 18,638.16 is: 27,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384.88 : 98,061.12 = 18,638.16 : x
  2. Step 2: Convert to fraction form
    65,384.88/98,061.12 = 18,638.16/x
  3. Step 3: Cross multiply
    65,384.88x = 98,061.12 × 18,638.16
  4. Step 4: Simplify right side
    65,384.88x = 1,827,678,844.34
  5. Step 5: Solve for x
    x = 1,827,678,844.34/65,384.88
  6. Step 6: Final answer
    x = 27,952.62

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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.