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Finding the Fourth Proportional to 52,005.20, 78,007.80 and 16,948.40

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Solution

The fourth proportional to 52,005.20, 78,007.80 and 16,948.40 is: 25,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.20 : 78,007.80 = 16,948.40 : x
  2. Step 2: Convert to fraction form
    52,005.20/78,007.80 = 16,948.40/x
  3. Step 3: Cross multiply
    52,005.20x = 78,007.80 × 16,948.40
  4. Step 4: Simplify right side
    52,005.20x = 1,322,107,397.52
  5. Step 5: Solve for x
    x = 1,322,107,397.52/52,005.20
  6. Step 6: Final answer
    x = 25,422.60

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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.