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Finding the Fourth Proportional to 65,288.92, 97,841.76 and 27,798.24

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Solution

The fourth proportional to 65,288.92, 97,841.76 and 27,798.24 is: 41,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,288.92 : 97,841.76 = 27,798.24 : x
  2. Step 2: Convert to fraction form
    65,288.92/97,841.76 = 27,798.24/x
  3. Step 3: Cross multiply
    65,288.92x = 97,841.76 × 27,798.24
  4. Step 4: Simplify right side
    65,288.92x = 2,719,828,726.50
  5. Step 5: Solve for x
    x = 2,719,828,726.50/65,288.92
  6. Step 6: Final answer
    x = 41,658.35

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1.5x scale

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.