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Finding the Fourth Proportional to 97,073.52, 145,610.12 and 30,519.46

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Solution

The fourth proportional to 97,073.52, 145,610.12 and 30,519.46 is: 45,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,073.52 : 145,610.12 = 30,519.46 : x
  2. Step 2: Convert to fraction form
    97,073.52/145,610.12 = 30,519.46/x
  3. Step 3: Cross multiply
    97,073.52x = 145,610.12 × 30,519.46
  4. Step 4: Simplify right side
    97,073.52x = 4,443,942,232.94
  5. Step 5: Solve for x
    x = 4,443,942,232.94/97,073.52
  6. Step 6: Final answer
    x = 45,779.14

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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.