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Finding the Fourth Proportional to 52,068.77, 78,087.02 and 18,784.52

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Solution

The fourth proportional to 52,068.77, 78,087.02 and 18,784.52 is: 28,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,068.77 : 78,087.02 = 18,784.52 : x
  2. Step 2: Convert to fraction form
    52,068.77/78,087.02 = 18,784.52/x
  3. Step 3: Cross multiply
    52,068.77x = 78,087.02 × 18,784.52
  4. Step 4: Simplify right side
    52,068.77x = 1,466,826,704.57
  5. Step 5: Solve for x
    x = 1,466,826,704.57/52,068.77
  6. Step 6: Final answer
    x = 28,170.95

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Why These Related Problems?

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