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Finding the Fourth Proportional to 70,787.12, 97,698.76 and 42,494.63

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Solution

The fourth proportional to 70,787.12, 97,698.76 and 42,494.63 is: 58,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,787.12 : 97,698.76 = 42,494.63 : x
  2. Step 2: Convert to fraction form
    70,787.12/97,698.76 = 42,494.63/x
  3. Step 3: Cross multiply
    70,787.12x = 97,698.76 × 42,494.63
  4. Step 4: Simplify right side
    70,787.12x = 4,151,672,062.93
  5. Step 5: Solve for x
    x = 4,151,672,062.93/70,787.12
  6. Step 6: Final answer
    x = 58,650.11

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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.