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Finding the Fourth Proportional to 48,931.40, 67,553.34 and 32,213

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Solution

The fourth proportional to 48,931.40, 67,553.34 and 32,213 is: 44,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,931.40 : 67,553.34 = 32,213 : x
  2. Step 2: Convert to fraction form
    48,931.40/67,553.34 = 32,213/x
  3. Step 3: Cross multiply
    48,931.40x = 67,553.34 × 32,213
  4. Step 4: Simplify right side
    48,931.40x = 2,176,095,741.42
  5. Step 5: Solve for x
    x = 2,176,095,741.42/48,931.40
  6. Step 6: Final answer
    x = 44,472.38

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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.