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Finding the Fourth Proportional to 97,344, 134,334.72 and 52,632

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Solution

The fourth proportional to 97,344, 134,334.72 and 52,632 is: 72,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,344 : 134,334.72 = 52,632 : x
  2. Step 2: Convert to fraction form
    97,344/134,334.72 = 52,632/x
  3. Step 3: Cross multiply
    97,344x = 134,334.72 × 52,632
  4. Step 4: Simplify right side
    97,344x = 7,070,304,983.04
  5. Step 5: Solve for x
    x = 7,070,304,983.04/97,344
  6. Step 6: Final answer
    x = 72,632.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.