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Finding the Fourth Proportional to 187,809.48, 281,724.48 and 47,569.32

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Solution

The fourth proportional to 187,809.48, 281,724.48 and 47,569.32 is: 71,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,809.48 : 281,724.48 = 47,569.32 : x
  2. Step 2: Convert to fraction form
    187,809.48/281,724.48 = 47,569.32/x
  3. Step 3: Cross multiply
    187,809.48x = 281,724.48 × 47,569.32
  4. Step 4: Simplify right side
    187,809.48x = 13,401,441,940.95
  5. Step 5: Solve for x
    x = 13,401,441,940.95/187,809.48
  6. Step 6: Final answer
    x = 71,356.58

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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.