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Finding the Fourth Proportional to 32,149.71, 48,223.76 and 8,776.35

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Solution

The fourth proportional to 32,149.71, 48,223.76 and 8,776.35 is: 13,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.71 : 48,223.76 = 8,776.35 : x
  2. Step 2: Convert to fraction form
    32,149.71/48,223.76 = 8,776.35/x
  3. Step 3: Cross multiply
    32,149.71x = 48,223.76 × 8,776.35
  4. Step 4: Simplify right side
    32,149.71x = 423,228,552.19
  5. Step 5: Solve for x
    x = 423,228,552.19/32,149.71
  6. Step 6: Final answer
    x = 13,164.30

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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.