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Finding the Fourth Proportional to 113,765.76, 170,681.44 and 34,891.60

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Solution

The fourth proportional to 113,765.76, 170,681.44 and 34,891.60 is: 52,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,765.76 : 170,681.44 = 34,891.60 : x
  2. Step 2: Convert to fraction form
    113,765.76/170,681.44 = 34,891.60/x
  3. Step 3: Cross multiply
    113,765.76x = 170,681.44 × 34,891.60
  4. Step 4: Simplify right side
    113,765.76x = 5,955,348,531.90
  5. Step 5: Solve for x
    x = 5,955,348,531.90/113,765.76
  6. Step 6: Final answer
    x = 52,347.46

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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.