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Finding the Fourth Proportional to 76,543.67, 114,754.30 and 38,572.49

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Solution

The fourth proportional to 76,543.67, 114,754.30 and 38,572.49 is: 57,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,543.67 : 114,754.30 = 38,572.49 : x
  2. Step 2: Convert to fraction form
    76,543.67/114,754.30 = 38,572.49/x
  3. Step 3: Cross multiply
    76,543.67x = 114,754.30 × 38,572.49
  4. Step 4: Simplify right side
    76,543.67x = 4,426,359,089.21
  5. Step 5: Solve for x
    x = 4,426,359,089.21/76,543.67
  6. Step 6: Final answer
    x = 57,827.89

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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.