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Finding the Fourth Proportional to 32,205.78, 48,294.06 and 10,012.62

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Solution

The fourth proportional to 32,205.78, 48,294.06 and 10,012.62 is: 15,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.78 : 48,294.06 = 10,012.62 : x
  2. Step 2: Convert to fraction form
    32,205.78/48,294.06 = 10,012.62/x
  3. Step 3: Cross multiply
    32,205.78x = 48,294.06 × 10,012.62
  4. Step 4: Simplify right side
    32,205.78x = 483,550,071.04
  5. Step 5: Solve for x
    x = 483,550,071.04/32,205.78
  6. Step 6: Final answer
    x = 15,014.39

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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.