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Finding the Fourth Proportional to 32,143.50, 44,358.22 and 17,803.80

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Solution

The fourth proportional to 32,143.50, 44,358.22 and 17,803.80 is: 24,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.50 : 44,358.22 = 17,803.80 : x
  2. Step 2: Convert to fraction form
    32,143.50/44,358.22 = 17,803.80/x
  3. Step 3: Cross multiply
    32,143.50x = 44,358.22 × 17,803.80
  4. Step 4: Simplify right side
    32,143.50x = 789,744,877.24
  5. Step 5: Solve for x
    x = 789,744,877.24/32,143.50
  6. Step 6: Final answer
    x = 24,569.35

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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.