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Finding the Fourth Proportional to 76,049.30, 114,090 and 28,663.38

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Solution

The fourth proportional to 76,049.30, 114,090 and 28,663.38 is: 43,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049.30 : 114,090 = 28,663.38 : x
  2. Step 2: Convert to fraction form
    76,049.30/114,090 = 28,663.38/x
  3. Step 3: Cross multiply
    76,049.30x = 114,090 × 28,663.38
  4. Step 4: Simplify right side
    76,049.30x = 3,270,205,024.20
  5. Step 5: Solve for x
    x = 3,270,205,024.20/76,049.30
  6. Step 6: Final answer
    x = 43,001.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.