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Finding the Fourth Proportional to 30,162.60, 45,243.90 and 16,165.80

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Solution

The fourth proportional to 30,162.60, 45,243.90 and 16,165.80 is: 24,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.60 : 45,243.90 = 16,165.80 : x
  2. Step 2: Convert to fraction form
    30,162.60/45,243.90 = 16,165.80/x
  3. Step 3: Cross multiply
    30,162.60x = 45,243.90 × 16,165.80
  4. Step 4: Simplify right side
    30,162.60x = 731,403,838.62
  5. Step 5: Solve for x
    x = 731,403,838.62/30,162.60
  6. Step 6: Final answer
    x = 24,248.70

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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.