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Finding the Fourth Proportional to 31,053.84, 46,490.43 and 27,848.10

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Solution

The fourth proportional to 31,053.84, 46,490.43 and 27,848.10 is: 41,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.84 : 46,490.43 = 27,848.10 : x
  2. Step 2: Convert to fraction form
    31,053.84/46,490.43 = 27,848.10/x
  3. Step 3: Cross multiply
    31,053.84x = 46,490.43 × 27,848.10
  4. Step 4: Simplify right side
    31,053.84x = 1,294,670,143.68
  5. Step 5: Solve for x
    x = 1,294,670,143.68/31,053.84
  6. Step 6: Final answer
    x = 41,691.14

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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.