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Finding the Fourth Proportional to 57,225.92, 78,970.56 and 32,074.88

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Solution

The fourth proportional to 57,225.92, 78,970.56 and 32,074.88 is: 44,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,225.92 : 78,970.56 = 32,074.88 : x
  2. Step 2: Convert to fraction form
    57,225.92/78,970.56 = 32,074.88/x
  3. Step 3: Cross multiply
    57,225.92x = 78,970.56 × 32,074.88
  4. Step 4: Simplify right side
    57,225.92x = 2,532,971,235.53
  5. Step 5: Solve for x
    x = 2,532,971,235.53/57,225.92
  6. Step 6: Final answer
    x = 44,262.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.