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Finding the Fourth Proportional to 113,807.68, 170,787.71 and 47,247.86

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Solution

The fourth proportional to 113,807.68, 170,787.71 and 47,247.86 is: 70,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,807.68 : 170,787.71 = 47,247.86 : x
  2. Step 2: Convert to fraction form
    113,807.68/170,787.71 = 47,247.86/x
  3. Step 3: Cross multiply
    113,807.68x = 170,787.71 × 47,247.86
  4. Step 4: Simplify right side
    113,807.68x = 8,069,353,575.56
  5. Step 5: Solve for x
    x = 8,069,353,575.56/113,807.68
  6. Step 6: Final answer
    x = 70,903.42

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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.