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Finding the Fourth Proportional to 97,853.70, 146,780.55 and 35,516.10

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Solution

The fourth proportional to 97,853.70, 146,780.55 and 35,516.10 is: 53,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,853.70 : 146,780.55 = 35,516.10 : x
  2. Step 2: Convert to fraction form
    97,853.70/146,780.55 = 35,516.10/x
  3. Step 3: Cross multiply
    97,853.70x = 146,780.55 × 35,516.10
  4. Step 4: Simplify right side
    97,853.70x = 5,213,072,691.86
  5. Step 5: Solve for x
    x = 5,213,072,691.86/97,853.70
  6. Step 6: Final answer
    x = 53,274.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.