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Finding the Fourth Proportional to 32,847.40, 49,214.40 and 15,281.20

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Solution

The fourth proportional to 32,847.40, 49,214.40 and 15,281.20 is: 22,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.40 : 49,214.40 = 15,281.20 : x
  2. Step 2: Convert to fraction form
    32,847.40/49,214.40 = 15,281.20/x
  3. Step 3: Cross multiply
    32,847.40x = 49,214.40 × 15,281.20
  4. Step 4: Simplify right side
    32,847.40x = 752,055,089.28
  5. Step 5: Solve for x
    x = 752,055,089.28/32,847.40
  6. Step 6: Final answer
    x = 22,895.42

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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.