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Finding the Fourth Proportional to 65,862.64, 98,798.10 and 26,414.64

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Solution

The fourth proportional to 65,862.64, 98,798.10 and 26,414.64 is: 39,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862.64 : 98,798.10 = 26,414.64 : x
  2. Step 2: Convert to fraction form
    65,862.64/98,798.10 = 26,414.64/x
  3. Step 3: Cross multiply
    65,862.64x = 98,798.10 × 26,414.64
  4. Step 4: Simplify right side
    65,862.64x = 2,609,716,244.18
  5. Step 5: Solve for x
    x = 2,609,716,244.18/65,862.64
  6. Step 6: Final answer
    x = 39,623.62

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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.