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Finding the Fourth Proportional to 70,385.64, 97,138.02 and 57,775.08

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Solution

The fourth proportional to 70,385.64, 97,138.02 and 57,775.08 is: 79,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,385.64 : 97,138.02 = 57,775.08 : x
  2. Step 2: Convert to fraction form
    70,385.64/97,138.02 = 57,775.08/x
  3. Step 3: Cross multiply
    70,385.64x = 97,138.02 × 57,775.08
  4. Step 4: Simplify right side
    70,385.64x = 5,612,156,876.54
  5. Step 5: Solve for x
    x = 5,612,156,876.54/70,385.64
  6. Step 6: Final answer
    x = 79,734.40

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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.