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Finding the Fourth Proportional to 52,856.40, 79,284.60 and 51,981.60

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Solution

The fourth proportional to 52,856.40, 79,284.60 and 51,981.60 is: 77,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,856.40 : 79,284.60 = 51,981.60 : x
  2. Step 2: Convert to fraction form
    52,856.40/79,284.60 = 51,981.60/x
  3. Step 3: Cross multiply
    52,856.40x = 79,284.60 × 51,981.60
  4. Step 4: Simplify right side
    52,856.40x = 4,121,340,363.36
  5. Step 5: Solve for x
    x = 4,121,340,363.36/52,856.40
  6. Step 6: Final answer
    x = 77,972.40

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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.