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Finding the Fourth Proportional to 32,203.96, 48,319.84 and 17,423.28

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Solution

The fourth proportional to 32,203.96, 48,319.84 and 17,423.28 is: 26,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.96 : 48,319.84 = 17,423.28 : x
  2. Step 2: Convert to fraction form
    32,203.96/48,319.84 = 17,423.28/x
  3. Step 3: Cross multiply
    32,203.96x = 48,319.84 × 17,423.28
  4. Step 4: Simplify right side
    32,203.96x = 841,890,123.65
  5. Step 5: Solve for x
    x = 841,890,123.65/32,203.96
  6. Step 6: Final answer
    x = 26,142.44

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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.