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Finding the Fourth Proportional to 75,833.12, 113,701 and 31,490.48

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Solution

The fourth proportional to 75,833.12, 113,701 and 31,490.48 is: 47,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,833.12 : 113,701 = 31,490.48 : x
  2. Step 2: Convert to fraction form
    75,833.12/113,701 = 31,490.48/x
  3. Step 3: Cross multiply
    75,833.12x = 113,701 × 31,490.48
  4. Step 4: Simplify right side
    75,833.12x = 3,580,499,066.48
  5. Step 5: Solve for x
    x = 3,580,499,066.48/75,833.12
  6. Step 6: Final answer
    x = 47,215.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.