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Finding the Fourth Proportional to 65,001.96, 97,502.49 and 18,254.88

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Solution

The fourth proportional to 65,001.96, 97,502.49 and 18,254.88 is: 27,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001.96 : 97,502.49 = 18,254.88 : x
  2. Step 2: Convert to fraction form
    65,001.96/97,502.49 = 18,254.88/x
  3. Step 3: Cross multiply
    65,001.96x = 97,502.49 × 18,254.88
  4. Step 4: Simplify right side
    65,001.96x = 1,779,896,254.65
  5. Step 5: Solve for x
    x = 1,779,896,254.65/65,001.96
  6. Step 6: Final answer
    x = 27,382.19

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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.