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Finding the Fourth Proportional to 32,077.74, 44,266.50 and 17,737.20

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Solution

The fourth proportional to 32,077.74, 44,266.50 and 17,737.20 is: 24,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.74 : 44,266.50 = 17,737.20 : x
  2. Step 2: Convert to fraction form
    32,077.74/44,266.50 = 17,737.20/x
  3. Step 3: Cross multiply
    32,077.74x = 44,266.50 × 17,737.20
  4. Step 4: Simplify right side
    32,077.74x = 785,163,763.80
  5. Step 5: Solve for x
    x = 785,163,763.80/32,077.74
  6. Step 6: Final answer
    x = 24,476.90

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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.