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Finding the Fourth Proportional to 65,392.88, 98,073.12 and 18,646.16

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Solution

The fourth proportional to 65,392.88, 98,073.12 and 18,646.16 is: 27,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,392.88 : 98,073.12 = 18,646.16 : x
  2. Step 2: Convert to fraction form
    65,392.88/98,073.12 = 18,646.16/x
  3. Step 3: Cross multiply
    65,392.88x = 98,073.12 × 18,646.16
  4. Step 4: Simplify right side
    65,392.88x = 1,828,687,087.22
  5. Step 5: Solve for x
    x = 1,828,687,087.22/65,392.88
  6. Step 6: Final answer
    x = 27,964.62

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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.