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Finding the Fourth Proportional to 97,165.54, 145,753.53 and 30,610.88

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Solution

The fourth proportional to 97,165.54, 145,753.53 and 30,610.88 is: 45,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,165.54 : 145,753.53 = 30,610.88 : x
  2. Step 2: Convert to fraction form
    97,165.54/145,753.53 = 30,610.88/x
  3. Step 3: Cross multiply
    97,165.54x = 145,753.53 × 30,610.88
  4. Step 4: Simplify right side
    97,165.54x = 4,461,643,816.41
  5. Step 5: Solve for x
    x = 4,461,643,816.41/97,165.54
  6. Step 6: Final answer
    x = 45,917.96

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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.