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Finding the Fourth Proportional to 34,787.23, 47,987.99 and 24,719.74

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Solution

The fourth proportional to 34,787.23, 47,987.99 and 24,719.74 is: 34,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,787.23 : 47,987.99 = 24,719.74 : x
  2. Step 2: Convert to fraction form
    34,787.23/47,987.99 = 24,719.74/x
  3. Step 3: Cross multiply
    34,787.23x = 47,987.99 × 24,719.74
  4. Step 4: Simplify right side
    34,787.23x = 1,186,250,272.38
  5. Step 5: Solve for x
    x = 1,186,250,272.38/34,787.23
  6. Step 6: Final answer
    x = 34,100.17

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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.