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Finding the Fourth Proportional to 75,498.51, 113,335.25 and 40,506.51

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Solution

The fourth proportional to 75,498.51, 113,335.25 and 40,506.51 is: 60,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,498.51 : 113,335.25 = 40,506.51 : x
  2. Step 2: Convert to fraction form
    75,498.51/113,335.25 = 40,506.51/x
  3. Step 3: Cross multiply
    75,498.51x = 113,335.25 × 40,506.51
  4. Step 4: Simplify right side
    75,498.51x = 4,590,815,234.94
  5. Step 5: Solve for x
    x = 4,590,815,234.94/75,498.51
  6. Step 6: Final answer
    x = 60,806.70

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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.