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Finding the Fourth Proportional to 51,881.68, 71,595.74 and 31,737.08

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Solution

The fourth proportional to 51,881.68, 71,595.74 and 31,737.08 is: 43,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,881.68 : 71,595.74 = 31,737.08 : x
  2. Step 2: Convert to fraction form
    51,881.68/71,595.74 = 31,737.08/x
  3. Step 3: Cross multiply
    51,881.68x = 71,595.74 × 31,737.08
  4. Step 4: Simplify right side
    51,881.68x = 2,272,239,728.04
  5. Step 5: Solve for x
    x = 2,272,239,728.04/51,881.68
  6. Step 6: Final answer
    x = 43,796.57

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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.