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Finding the Fourth Proportional to 110,543.16, 165,863.70 and 57,940.08

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Solution

The fourth proportional to 110,543.16, 165,863.70 and 57,940.08 is: 86,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,543.16 : 165,863.70 = 57,940.08 : x
  2. Step 2: Convert to fraction form
    110,543.16/165,863.70 = 57,940.08/x
  3. Step 3: Cross multiply
    110,543.16x = 165,863.70 × 57,940.08
  4. Step 4: Simplify right side
    110,543.16x = 9,610,156,047.10
  5. Step 5: Solve for x
    x = 9,610,156,047.10/110,543.16
  6. Step 6: Final answer
    x = 86,935.78

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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.