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Finding the Fourth Proportional to 32,780.40, 49,165.80 and 9,404.40

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Solution

The fourth proportional to 32,780.40, 49,165.80 and 9,404.40 is: 14,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.40 : 49,165.80 = 9,404.40 : x
  2. Step 2: Convert to fraction form
    32,780.40/49,165.80 = 9,404.40/x
  3. Step 3: Cross multiply
    32,780.40x = 49,165.80 × 9,404.40
  4. Step 4: Simplify right side
    32,780.40x = 462,374,849.52
  5. Step 5: Solve for x
    x = 462,374,849.52/32,780.40
  6. Step 6: Final answer
    x = 14,105.22

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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.