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Finding the Fourth Proportional to 101,842.56, 152,765.55 and 35,284.65

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Solution

The fourth proportional to 101,842.56, 152,765.55 and 35,284.65 is: 52,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842.56 : 152,765.55 = 35,284.65 : x
  2. Step 2: Convert to fraction form
    101,842.56/152,765.55 = 35,284.65/x
  3. Step 3: Cross multiply
    101,842.56x = 152,765.55 × 35,284.65
  4. Step 4: Simplify right side
    101,842.56x = 5,390,278,963.81
  5. Step 5: Solve for x
    x = 5,390,278,963.81/101,842.56
  6. Step 6: Final answer
    x = 52,927.57

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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.