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Finding the Fourth Proportional to 97,343.76, 134,336.34 and 54,894

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Solution

The fourth proportional to 97,343.76, 134,336.34 and 54,894 is: 75,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,343.76 : 134,336.34 = 54,894 : x
  2. Step 2: Convert to fraction form
    97,343.76/134,336.34 = 54,894/x
  3. Step 3: Cross multiply
    97,343.76x = 134,336.34 × 54,894
  4. Step 4: Simplify right side
    97,343.76x = 7,374,259,047.96
  5. Step 5: Solve for x
    x = 7,374,259,047.96/97,343.76
  6. Step 6: Final answer
    x = 75,754.82

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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.