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Finding the Fourth Proportional to 75,568.80, 113,381.10 and 31,199.40

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Solution

The fourth proportional to 75,568.80, 113,381.10 and 31,199.40 is: 46,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,568.80 : 113,381.10 = 31,199.40 : x
  2. Step 2: Convert to fraction form
    75,568.80/113,381.10 = 31,199.40/x
  3. Step 3: Cross multiply
    75,568.80x = 113,381.10 × 31,199.40
  4. Step 4: Simplify right side
    75,568.80x = 3,537,422,291.34
  5. Step 5: Solve for x
    x = 3,537,422,291.34/75,568.80
  6. Step 6: Final answer
    x = 46,810.62

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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.