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Finding the Fourth Proportional to 97,167, 145,750.50 and 27,048.14

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Solution

The fourth proportional to 97,167, 145,750.50 and 27,048.14 is: 40,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,167 : 145,750.50 = 27,048.14 : x
  2. Step 2: Convert to fraction form
    97,167/145,750.50 = 27,048.14/x
  3. Step 3: Cross multiply
    97,167x = 145,750.50 × 27,048.14
  4. Step 4: Simplify right side
    97,167x = 3,942,279,200.32
  5. Step 5: Solve for x
    x = 3,942,279,200.32/97,167
  6. Step 6: Final answer
    x = 40,572.20

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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.