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Finding the Fourth Proportional to 113,864.72, 170,805.72 and 30,758

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Solution

The fourth proportional to 113,864.72, 170,805.72 and 30,758 is: 46,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,864.72 : 170,805.72 = 30,758 : x
  2. Step 2: Convert to fraction form
    113,864.72/170,805.72 = 30,758/x
  3. Step 3: Cross multiply
    113,864.72x = 170,805.72 × 30,758
  4. Step 4: Simplify right side
    113,864.72x = 5,253,642,335.76
  5. Step 5: Solve for x
    x = 5,253,642,335.76/113,864.72
  6. Step 6: Final answer
    x = 46,139.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.