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Finding the Fourth Proportional to 65,387.17, 98,095.29 and 23,834.17

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Solution

The fourth proportional to 65,387.17, 98,095.29 and 23,834.17 is: 35,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,387.17 : 98,095.29 = 23,834.17 : x
  2. Step 2: Convert to fraction form
    65,387.17/98,095.29 = 23,834.17/x
  3. Step 3: Cross multiply
    65,387.17x = 98,095.29 × 23,834.17
  4. Step 4: Simplify right side
    65,387.17x = 2,338,019,818.06
  5. Step 5: Solve for x
    x = 2,338,019,818.06/65,387.17
  6. Step 6: Final answer
    x = 35,756.55

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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.