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Finding the Fourth Proportional to 65,314.52, 97,955.78 and 17,929.92

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Solution

The fourth proportional to 65,314.52, 97,955.78 and 17,929.92 is: 26,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314.52 : 97,955.78 = 17,929.92 : x
  2. Step 2: Convert to fraction form
    65,314.52/97,955.78 = 17,929.92/x
  3. Step 3: Cross multiply
    65,314.52x = 97,955.78 × 17,929.92
  4. Step 4: Simplify right side
    65,314.52x = 1,756,339,298.94
  5. Step 5: Solve for x
    x = 1,756,339,298.94/65,314.52
  6. Step 6: Final answer
    x = 26,890.49

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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.