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Finding the Fourth Proportional to 76,502.68, 114,709.88 and 29,700.88

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Solution

The fourth proportional to 76,502.68, 114,709.88 and 29,700.88 is: 44,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502.68 : 114,709.88 = 29,700.88 : x
  2. Step 2: Convert to fraction form
    76,502.68/114,709.88 = 29,700.88/x
  3. Step 3: Cross multiply
    76,502.68x = 114,709.88 × 29,700.88
  4. Step 4: Simplify right side
    76,502.68x = 3,406,984,232.19
  5. Step 5: Solve for x
    x = 3,406,984,232.19/76,502.68
  6. Step 6: Final answer
    x = 44,534.18

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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.