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Finding the Fourth Proportional to 51,123.84, 70,531.29 and 31,733.65

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Solution

The fourth proportional to 51,123.84, 70,531.29 and 31,733.65 is: 43,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,123.84 : 70,531.29 = 31,733.65 : x
  2. Step 2: Convert to fraction form
    51,123.84/70,531.29 = 31,733.65/x
  3. Step 3: Cross multiply
    51,123.84x = 70,531.29 × 31,733.65
  4. Step 4: Simplify right side
    51,123.84x = 2,238,215,359.07
  5. Step 5: Solve for x
    x = 2,238,215,359.07/51,123.84
  6. Step 6: Final answer
    x = 43,780.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.