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Finding the Fourth Proportional to 32,384.80, 48,573.12 and 9,013.04

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Solution

The fourth proportional to 32,384.80, 48,573.12 and 9,013.04 is: 13,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.80 : 48,573.12 = 9,013.04 : x
  2. Step 2: Convert to fraction form
    32,384.80/48,573.12 = 9,013.04/x
  3. Step 3: Cross multiply
    32,384.80x = 48,573.12 × 9,013.04
  4. Step 4: Simplify right side
    32,384.80x = 437,791,473.48
  5. Step 5: Solve for x
    x = 437,791,473.48/32,384.80
  6. Step 6: Final answer
    x = 13,518.42

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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.