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Finding the Fourth Proportional to 48,142.80, 72,214.20 and 24,814.80

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Solution

The fourth proportional to 48,142.80, 72,214.20 and 24,814.80 is: 37,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,142.80 : 72,214.20 = 24,814.80 : x
  2. Step 2: Convert to fraction form
    48,142.80/72,214.20 = 24,814.80/x
  3. Step 3: Cross multiply
    48,142.80x = 72,214.20 × 24,814.80
  4. Step 4: Simplify right side
    48,142.80x = 1,791,980,930.16
  5. Step 5: Solve for x
    x = 1,791,980,930.16/48,142.80
  6. Step 6: Final answer
    x = 37,222.20

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1.5x scale

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.