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Finding the Fourth Proportional to 32,500.85, 48,751.57 and 10,314.34

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Solution

The fourth proportional to 32,500.85, 48,751.57 and 10,314.34 is: 15,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500.85 : 48,751.57 = 10,314.34 : x
  2. Step 2: Convert to fraction form
    32,500.85/48,751.57 = 10,314.34/x
  3. Step 3: Cross multiply
    32,500.85x = 48,751.57 × 10,314.34
  4. Step 4: Simplify right side
    32,500.85x = 502,840,159.53
  5. Step 5: Solve for x
    x = 502,840,159.53/32,500.85
  6. Step 6: Final answer
    x = 15,471.60

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1.5x scale

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.