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Finding the Fourth Proportional to 54,253, 74,862.84 and 31,596.94

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Solution

The fourth proportional to 54,253, 74,862.84 and 31,596.94 is: 43,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,253 : 74,862.84 = 31,596.94 : x
  2. Step 2: Convert to fraction form
    54,253/74,862.84 = 31,596.94/x
  3. Step 3: Cross multiply
    54,253x = 74,862.84 × 31,596.94
  4. Step 4: Simplify right side
    54,253x = 2,365,436,663.71
  5. Step 5: Solve for x
    x = 2,365,436,663.71/54,253
  6. Step 6: Final answer
    x = 43,600.11

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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.