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Finding the Fourth Proportional to 70,278.80, 96,985.46 and 38,447

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Solution

The fourth proportional to 70,278.80, 96,985.46 and 38,447 is: 53,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,278.80 : 96,985.46 = 38,447 : x
  2. Step 2: Convert to fraction form
    70,278.80/96,985.46 = 38,447/x
  3. Step 3: Cross multiply
    70,278.80x = 96,985.46 × 38,447
  4. Step 4: Simplify right side
    70,278.80x = 3,728,799,980.62
  5. Step 5: Solve for x
    x = 3,728,799,980.62/70,278.80
  6. Step 6: Final answer
    x = 53,057.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.