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Finding the Fourth Proportional to 52,470.40, 78,708.04 and 15,036

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Solution

The fourth proportional to 52,470.40, 78,708.04 and 15,036 is: 22,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470.40 : 78,708.04 = 15,036 : x
  2. Step 2: Convert to fraction form
    52,470.40/78,708.04 = 15,036/x
  3. Step 3: Cross multiply
    52,470.40x = 78,708.04 × 15,036
  4. Step 4: Simplify right side
    52,470.40x = 1,183,454,089.44
  5. Step 5: Solve for x
    x = 1,183,454,089.44/52,470.40
  6. Step 6: Final answer
    x = 22,554.70

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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.