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Finding the Fourth Proportional to 32,909.50, 45,414.97 and 17,802.19

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Solution

The fourth proportional to 32,909.50, 45,414.97 and 17,802.19 is: 24,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.50 : 45,414.97 = 17,802.19 : x
  2. Step 2: Convert to fraction form
    32,909.50/45,414.97 = 17,802.19/x
  3. Step 3: Cross multiply
    32,909.50x = 45,414.97 × 17,802.19
  4. Step 4: Simplify right side
    32,909.50x = 808,485,766.74
  5. Step 5: Solve for x
    x = 808,485,766.74/32,909.50
  6. Step 6: Final answer
    x = 24,566.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.