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Finding the Fourth Proportional to 67,870.60, 102,024.60 and 48,284.80

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Solution

The fourth proportional to 67,870.60, 102,024.60 and 48,284.80 is: 72,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,870.60 : 102,024.60 = 48,284.80 : x
  2. Step 2: Convert to fraction form
    67,870.60/102,024.60 = 48,284.80/x
  3. Step 3: Cross multiply
    67,870.60x = 102,024.60 × 48,284.80
  4. Step 4: Simplify right side
    67,870.60x = 4,926,237,406.08
  5. Step 5: Solve for x
    x = 4,926,237,406.08/67,870.60
  6. Step 6: Final answer
    x = 72,582.79

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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.