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Finding the Fourth Proportional to 97,099.68, 145,656.11 and 33,031.74

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Solution

The fourth proportional to 97,099.68, 145,656.11 and 33,031.74 is: 49,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,099.68 : 145,656.11 = 33,031.74 : x
  2. Step 2: Convert to fraction form
    97,099.68/145,656.11 = 33,031.74/x
  3. Step 3: Cross multiply
    97,099.68x = 145,656.11 × 33,031.74
  4. Step 4: Simplify right side
    97,099.68x = 4,811,274,754.93
  5. Step 5: Solve for x
    x = 4,811,274,754.93/97,099.68
  6. Step 6: Final answer
    x = 49,549.85

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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.