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Finding the Fourth Proportional to 65,835.90, 98,751.63 and 26,382.42

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Solution

The fourth proportional to 65,835.90, 98,751.63 and 26,382.42 is: 39,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,835.90 : 98,751.63 = 26,382.42 : x
  2. Step 2: Convert to fraction form
    65,835.90/98,751.63 = 26,382.42/x
  3. Step 3: Cross multiply
    65,835.90x = 98,751.63 × 26,382.42
  4. Step 4: Simplify right side
    65,835.90x = 2,605,306,978.34
  5. Step 5: Solve for x
    x = 2,605,306,978.34/65,835.90
  6. Step 6: Final answer
    x = 39,572.74

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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.