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Finding the Fourth Proportional to 116,976, 175,482.24 and 38,071.56

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Solution

The fourth proportional to 116,976, 175,482.24 and 38,071.56 is: 57,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,976 : 175,482.24 = 38,071.56 : x
  2. Step 2: Convert to fraction form
    116,976/175,482.24 = 38,071.56/x
  3. Step 3: Cross multiply
    116,976x = 175,482.24 × 38,071.56
  4. Step 4: Simplify right side
    116,976x = 6,680,882,629.09
  5. Step 5: Solve for x
    x = 6,680,882,629.09/116,976
  6. Step 6: Final answer
    x = 57,113.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.