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Finding the Fourth Proportional to 97,335.76, 134,325.30 and 54,886

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Solution

The fourth proportional to 97,335.76, 134,325.30 and 54,886 is: 75,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,335.76 : 134,325.30 = 54,886 : x
  2. Step 2: Convert to fraction form
    97,335.76/134,325.30 = 54,886/x
  3. Step 3: Cross multiply
    97,335.76x = 134,325.30 × 54,886
  4. Step 4: Simplify right side
    97,335.76x = 7,372,578,415.80
  5. Step 5: Solve for x
    x = 7,372,578,415.80/97,335.76
  6. Step 6: Final answer
    x = 75,743.78

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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.