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Finding the Fourth Proportional to 97,159.44, 134,082.48 and 54,719.40

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Solution

The fourth proportional to 97,159.44, 134,082.48 and 54,719.40 is: 75,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,159.44 : 134,082.48 = 54,719.40 : x
  2. Step 2: Convert to fraction form
    97,159.44/134,082.48 = 54,719.40/x
  3. Step 3: Cross multiply
    97,159.44x = 134,082.48 × 54,719.40
  4. Step 4: Simplify right side
    97,159.44x = 7,336,912,856.11
  5. Step 5: Solve for x
    x = 7,336,912,856.11/97,159.44
  6. Step 6: Final answer
    x = 75,514.15

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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.