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Finding the Fourth Proportional to 113,822.32, 170,752.02 and 42,750.50

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Solution

The fourth proportional to 113,822.32, 170,752.02 and 42,750.50 is: 64,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,822.32 : 170,752.02 = 42,750.50 : x
  2. Step 2: Convert to fraction form
    113,822.32/170,752.02 = 42,750.50/x
  3. Step 3: Cross multiply
    113,822.32x = 170,752.02 × 42,750.50
  4. Step 4: Simplify right side
    113,822.32x = 7,299,734,231.01
  5. Step 5: Solve for x
    x = 7,299,734,231.01/113,822.32
  6. Step 6: Final answer
    x = 64,132.71

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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.