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Finding the Fourth Proportional to 75,506.90, 113,078.19 and 59,656.82

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Solution

The fourth proportional to 75,506.90, 113,078.19 and 59,656.82 is: 89,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,506.90 : 113,078.19 = 59,656.82 : x
  2. Step 2: Convert to fraction form
    75,506.90/113,078.19 = 59,656.82/x
  3. Step 3: Cross multiply
    75,506.90x = 113,078.19 × 59,656.82
  4. Step 4: Simplify right side
    75,506.90x = 6,745,885,226.76
  5. Step 5: Solve for x
    x = 6,745,885,226.76/75,506.90
  6. Step 6: Final answer
    x = 89,341.31

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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.