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Finding the Fourth Proportional to 52,582.70, 78,874.05 and 48,281.90

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Solution

The fourth proportional to 52,582.70, 78,874.05 and 48,281.90 is: 72,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,582.70 : 78,874.05 = 48,281.90 : x
  2. Step 2: Convert to fraction form
    52,582.70/78,874.05 = 48,281.90/x
  3. Step 3: Cross multiply
    52,582.70x = 78,874.05 × 48,281.90
  4. Step 4: Simplify right side
    52,582.70x = 3,808,188,994.70
  5. Step 5: Solve for x
    x = 3,808,188,994.70/52,582.70
  6. Step 6: Final answer
    x = 72,422.85

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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.