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Finding the Fourth Proportional to 52,017.68, 78,033 and 16,947.92

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Solution

The fourth proportional to 52,017.68, 78,033 and 16,947.92 is: 25,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.68 : 78,033 = 16,947.92 : x
  2. Step 2: Convert to fraction form
    52,017.68/78,033 = 16,947.92/x
  3. Step 3: Cross multiply
    52,017.68x = 78,033 × 16,947.92
  4. Step 4: Simplify right side
    52,017.68x = 1,322,497,041.36
  5. Step 5: Solve for x
    x = 1,322,497,041.36/52,017.68
  6. Step 6: Final answer
    x = 25,423.99

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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.