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Finding the Fourth Proportional to 70,878.24, 97,808.31 and 39,046.41

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Solution

The fourth proportional to 70,878.24, 97,808.31 and 39,046.41 is: 53,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.24 : 97,808.31 = 39,046.41 : x
  2. Step 2: Convert to fraction form
    70,878.24/97,808.31 = 39,046.41/x
  3. Step 3: Cross multiply
    70,878.24x = 97,808.31 × 39,046.41
  4. Step 4: Simplify right side
    70,878.24x = 3,819,063,373.67
  5. Step 5: Solve for x
    x = 3,819,063,373.67/70,878.24
  6. Step 6: Final answer
    x = 53,882.03

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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.