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Finding the Fourth Proportional to 97,031.96, 145,501.84 and 33,844.41

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Solution

The fourth proportional to 97,031.96, 145,501.84 and 33,844.41 is: 50,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,031.96 : 145,501.84 = 33,844.41 : x
  2. Step 2: Convert to fraction form
    97,031.96/145,501.84 = 33,844.41/x
  3. Step 3: Cross multiply
    97,031.96x = 145,501.84 × 33,844.41
  4. Step 4: Simplify right side
    97,031.96x = 4,924,423,656.98
  5. Step 5: Solve for x
    x = 4,924,423,656.98/97,031.96
  6. Step 6: Final answer
    x = 50,750.53

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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.