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Finding the Fourth Proportional to 97,071.50, 145,607.13 and 30,517.44

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Solution

The fourth proportional to 97,071.50, 145,607.13 and 30,517.44 is: 45,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,071.50 : 145,607.13 = 30,517.44 : x
  2. Step 2: Convert to fraction form
    97,071.50/145,607.13 = 30,517.44/x
  3. Step 3: Cross multiply
    97,071.50x = 145,607.13 × 30,517.44
  4. Step 4: Simplify right side
    97,071.50x = 4,443,556,853.35
  5. Step 5: Solve for x
    x = 4,443,556,853.35/97,071.50
  6. Step 6: Final answer
    x = 45,776.12

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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.