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Finding the Fourth Proportional to 65,825.56, 98,750.58 and 26,385.74

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Solution

The fourth proportional to 65,825.56, 98,750.58 and 26,385.74 is: 39,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,825.56 : 98,750.58 = 26,385.74 : x
  2. Step 2: Convert to fraction form
    65,825.56/98,750.58 = 26,385.74/x
  3. Step 3: Cross multiply
    65,825.56x = 98,750.58 × 26,385.74
  4. Step 4: Simplify right side
    65,825.56x = 2,605,607,128.73
  5. Step 5: Solve for x
    x = 2,605,607,128.73/65,825.56
  6. Step 6: Final answer
    x = 39,583.52

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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.