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Finding the Fourth Proportional to 86,241.84, 119,012.52 and 48,516

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Solution

The fourth proportional to 86,241.84, 119,012.52 and 48,516 is: 66,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,241.84 : 119,012.52 = 48,516 : x
  2. Step 2: Convert to fraction form
    86,241.84/119,012.52 = 48,516/x
  3. Step 3: Cross multiply
    86,241.84x = 119,012.52 × 48,516
  4. Step 4: Simplify right side
    86,241.84x = 5,774,011,420.32
  5. Step 5: Solve for x
    x = 5,774,011,420.32/86,241.84
  6. Step 6: Final answer
    x = 66,951.39

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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.