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Finding the Fourth Proportional to 187,802.16, 281,713.50 and 47,562

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Solution

The fourth proportional to 187,802.16, 281,713.50 and 47,562 is: 71,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,802.16 : 281,713.50 = 47,562 : x
  2. Step 2: Convert to fraction form
    187,802.16/281,713.50 = 47,562/x
  3. Step 3: Cross multiply
    187,802.16x = 281,713.50 × 47,562
  4. Step 4: Simplify right side
    187,802.16x = 13,398,857,487
  5. Step 5: Solve for x
    x = 13,398,857,487/187,802.16
  6. Step 6: Final answer
    x = 71,345.60

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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.