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Finding the Fourth Proportional to 32,871.40, 49,314.30 and 16,239.40

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Solution

The fourth proportional to 32,871.40, 49,314.30 and 16,239.40 is: 24,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871.40 : 49,314.30 = 16,239.40 : x
  2. Step 2: Convert to fraction form
    32,871.40/49,314.30 = 16,239.40/x
  3. Step 3: Cross multiply
    32,871.40x = 49,314.30 × 16,239.40
  4. Step 4: Simplify right side
    32,871.40x = 800,834,643.42
  5. Step 5: Solve for x
    x = 800,834,643.42/32,871.40
  6. Step 6: Final answer
    x = 24,362.66

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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.