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Finding the Fourth Proportional to 32,871.50, 49,307.25 and 10,983.50

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Solution

The fourth proportional to 32,871.50, 49,307.25 and 10,983.50 is: 16,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871.50 : 49,307.25 = 10,983.50 : x
  2. Step 2: Convert to fraction form
    32,871.50/49,307.25 = 10,983.50/x
  3. Step 3: Cross multiply
    32,871.50x = 49,307.25 × 10,983.50
  4. Step 4: Simplify right side
    32,871.50x = 541,566,180.38
  5. Step 5: Solve for x
    x = 541,566,180.38/32,871.50
  6. Step 6: Final answer
    x = 16,475.25

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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.