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Finding the Fourth Proportional to 75,869.95, 113,855.71 and 31,496.74

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Solution

The fourth proportional to 75,869.95, 113,855.71 and 31,496.74 is: 47,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,869.95 : 113,855.71 = 31,496.74 : x
  2. Step 2: Convert to fraction form
    75,869.95/113,855.71 = 31,496.74/x
  3. Step 3: Cross multiply
    75,869.95x = 113,855.71 × 31,496.74
  4. Step 4: Simplify right side
    75,869.95x = 3,586,083,695.39
  5. Step 5: Solve for x
    x = 3,586,083,695.39/75,869.95
  6. Step 6: Final answer
    x = 47,266.19

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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.