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Finding the Fourth Proportional to 97,342.76, 134,334.96 and 54,893

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Solution

The fourth proportional to 97,342.76, 134,334.96 and 54,893 is: 75,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,342.76 : 134,334.96 = 54,893 : x
  2. Step 2: Convert to fraction form
    97,342.76/134,334.96 = 54,893/x
  3. Step 3: Cross multiply
    97,342.76x = 134,334.96 × 54,893
  4. Step 4: Simplify right side
    97,342.76x = 7,374,048,959.28
  5. Step 5: Solve for x
    x = 7,374,048,959.28/97,342.76
  6. Step 6: Final answer
    x = 75,753.44

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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.