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Finding the Fourth Proportional to 97,081.61, 145,595.70 and 61,489.53

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Solution

The fourth proportional to 97,081.61, 145,595.70 and 61,489.53 is: 92,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,081.61 : 145,595.70 = 61,489.53 : x
  2. Step 2: Convert to fraction form
    97,081.61/145,595.70 = 61,489.53/x
  3. Step 3: Cross multiply
    97,081.61x = 145,595.70 × 61,489.53
  4. Step 4: Simplify right side
    97,081.61x = 8,952,611,163.02
  5. Step 5: Solve for x
    x = 8,952,611,163.02/97,081.61
  6. Step 6: Final answer
    x = 92,217.38

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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.