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Finding the Fourth Proportional to 86,552.82, 119,445.03 and 48,829.50

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Solution

The fourth proportional to 86,552.82, 119,445.03 and 48,829.50 is: 67,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,552.82 : 119,445.03 = 48,829.50 : x
  2. Step 2: Convert to fraction form
    86,552.82/119,445.03 = 48,829.50/x
  3. Step 3: Cross multiply
    86,552.82x = 119,445.03 × 48,829.50
  4. Step 4: Simplify right side
    86,552.82x = 5,832,441,092.39
  5. Step 5: Solve for x
    x = 5,832,441,092.39/86,552.82
  6. Step 6: Final answer
    x = 67,385.92

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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.