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Finding the Fourth Proportional to 76,476.95, 114,731.84 and 32,078.11

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Solution

The fourth proportional to 76,476.95, 114,731.84 and 32,078.11 is: 48,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476.95 : 114,731.84 = 32,078.11 : x
  2. Step 2: Convert to fraction form
    76,476.95/114,731.84 = 32,078.11/x
  3. Step 3: Cross multiply
    76,476.95x = 114,731.84 × 32,078.11
  4. Step 4: Simplify right side
    76,476.95x = 3,680,380,136.80
  5. Step 5: Solve for x
    x = 3,680,380,136.80/76,476.95
  6. Step 6: Final answer
    x = 48,124.05

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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.