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Finding the Fourth Proportional to 32,117.50, 48,195.69 and 13,649.50

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Solution

The fourth proportional to 32,117.50, 48,195.69 and 13,649.50 is: 20,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.50 : 48,195.69 = 13,649.50 : x
  2. Step 2: Convert to fraction form
    32,117.50/48,195.69 = 13,649.50/x
  3. Step 3: Cross multiply
    32,117.50x = 48,195.69 × 13,649.50
  4. Step 4: Simplify right side
    32,117.50x = 657,847,070.66
  5. Step 5: Solve for x
    x = 657,847,070.66/32,117.50
  6. Step 6: Final answer
    x = 20,482.51

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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.