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Finding the Fourth Proportional to 65,902.93, 98,857.13 and 19,155.80

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Solution

The fourth proportional to 65,902.93, 98,857.13 and 19,155.80 is: 28,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.93 : 98,857.13 = 19,155.80 : x
  2. Step 2: Convert to fraction form
    65,902.93/98,857.13 = 19,155.80/x
  3. Step 3: Cross multiply
    65,902.93x = 98,857.13 × 19,155.80
  4. Step 4: Simplify right side
    65,902.93x = 1,893,687,562.22
  5. Step 5: Solve for x
    x = 1,893,687,562.22/65,902.93
  6. Step 6: Final answer
    x = 28,734.50

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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.