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Finding the Fourth Proportional to 75,648.48, 104,297.36 and 61,985.73

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Solution

The fourth proportional to 75,648.48, 104,297.36 and 61,985.73 is: 85,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,648.48 : 104,297.36 = 61,985.73 : x
  2. Step 2: Convert to fraction form
    75,648.48/104,297.36 = 61,985.73/x
  3. Step 3: Cross multiply
    75,648.48x = 104,297.36 × 61,985.73
  4. Step 4: Simplify right side
    75,648.48x = 6,464,948,077.86
  5. Step 5: Solve for x
    x = 6,464,948,077.86/75,648.48
  6. Step 6: Final answer
    x = 85,460.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.