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Finding the Fourth Proportional to 70,565.76, 105,793.04 and 48,311.68

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Solution

The fourth proportional to 70,565.76, 105,793.04 and 48,311.68 is: 72,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,565.76 : 105,793.04 = 48,311.68 : x
  2. Step 2: Convert to fraction form
    70,565.76/105,793.04 = 48,311.68/x
  3. Step 3: Cross multiply
    70,565.76x = 105,793.04 × 48,311.68
  4. Step 4: Simplify right side
    70,565.76x = 5,111,039,494.71
  5. Step 5: Solve for x
    x = 5,111,039,494.71/70,565.76
  6. Step 6: Final answer
    x = 72,429.45

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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.