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Finding the Fourth Proportional to 65,093, 97,639.52 and 15,845

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Solution

The fourth proportional to 65,093, 97,639.52 and 15,845 is: 23,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093 : 97,639.52 = 15,845 : x
  2. Step 2: Convert to fraction form
    65,093/97,639.52 = 15,845/x
  3. Step 3: Cross multiply
    65,093x = 97,639.52 × 15,845
  4. Step 4: Simplify right side
    65,093x = 1,547,098,194.40
  5. Step 5: Solve for x
    x = 1,547,098,194.40/65,093
  6. Step 6: Final answer
    x = 23,767.50

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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.