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Finding the Fourth Proportional to 101,811.32, 152,637.70 and 48,475.86

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Solution

The fourth proportional to 101,811.32, 152,637.70 and 48,475.86 is: 72,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,811.32 : 152,637.70 = 48,475.86 : x
  2. Step 2: Convert to fraction form
    101,811.32/152,637.70 = 48,475.86/x
  3. Step 3: Cross multiply
    101,811.32x = 152,637.70 × 48,475.86
  4. Step 4: Simplify right side
    101,811.32x = 7,399,243,775.92
  5. Step 5: Solve for x
    x = 7,399,243,775.92/101,811.32
  6. Step 6: Final answer
    x = 72,676.04

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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.