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Finding the Fourth Proportional to 97,264.32, 145,897.92 and 27,144

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Solution

The fourth proportional to 97,264.32, 145,897.92 and 27,144 is: 40,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,264.32 : 145,897.92 = 27,144 : x
  2. Step 2: Convert to fraction form
    97,264.32/145,897.92 = 27,144/x
  3. Step 3: Cross multiply
    97,264.32x = 145,897.92 × 27,144
  4. Step 4: Simplify right side
    97,264.32x = 3,960,253,140.48
  5. Step 5: Solve for x
    x = 3,960,253,140.48/97,264.32
  6. Step 6: Final answer
    x = 40,716.40

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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.