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Finding the Fourth Proportional to 70,285.84, 96,996 and 38,454.72

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Solution

The fourth proportional to 70,285.84, 96,996 and 38,454.72 is: 53,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,285.84 : 96,996 = 38,454.72 : x
  2. Step 2: Convert to fraction form
    70,285.84/96,996 = 38,454.72/x
  3. Step 3: Cross multiply
    70,285.84x = 96,996 × 38,454.72
  4. Step 4: Simplify right side
    70,285.84x = 3,729,954,021.12
  5. Step 5: Solve for x
    x = 3,729,954,021.12/70,285.84
  6. Step 6: Final answer
    x = 53,068.36

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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.