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Finding the Fourth Proportional to 32,074.92, 48,119.67 and 14,549.76

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Solution

The fourth proportional to 32,074.92, 48,119.67 and 14,549.76 is: 21,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.92 : 48,119.67 = 14,549.76 : x
  2. Step 2: Convert to fraction form
    32,074.92/48,119.67 = 14,549.76/x
  3. Step 3: Cross multiply
    32,074.92x = 48,119.67 × 14,549.76
  4. Step 4: Simplify right side
    32,074.92x = 700,129,649.78
  5. Step 5: Solve for x
    x = 700,129,649.78/32,074.92
  6. Step 6: Final answer
    x = 21,827.95

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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.