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Finding the Fourth Proportional to 32,013.60, 47,994.80 and 13,530.40

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Solution

The fourth proportional to 32,013.60, 47,994.80 and 13,530.40 is: 20,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.60 : 47,994.80 = 13,530.40 : x
  2. Step 2: Convert to fraction form
    32,013.60/47,994.80 = 13,530.40/x
  3. Step 3: Cross multiply
    32,013.60x = 47,994.80 × 13,530.40
  4. Step 4: Simplify right side
    32,013.60x = 649,388,841.92
  5. Step 5: Solve for x
    x = 649,388,841.92/32,013.60
  6. Step 6: Final answer
    x = 20,284.78

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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.