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Finding the Fourth Proportional to 70,758.66, 97,647.44 and 38,493.58

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Solution

The fourth proportional to 70,758.66, 97,647.44 and 38,493.58 is: 53,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,758.66 : 97,647.44 = 38,493.58 : x
  2. Step 2: Convert to fraction form
    70,758.66/97,647.44 = 38,493.58/x
  3. Step 3: Cross multiply
    70,758.66x = 97,647.44 × 38,493.58
  4. Step 4: Simplify right side
    70,758.66x = 3,758,799,506.46
  5. Step 5: Solve for x
    x = 3,758,799,506.46/70,758.66
  6. Step 6: Final answer
    x = 53,121.40

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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.