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Finding the Fourth Proportional to 37,047.66, 51,130.35 and 27,599.82

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Solution

The fourth proportional to 37,047.66, 51,130.35 and 27,599.82 is: 38,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047.66 : 51,130.35 = 27,599.82 : x
  2. Step 2: Convert to fraction form
    37,047.66/51,130.35 = 27,599.82/x
  3. Step 3: Cross multiply
    37,047.66x = 51,130.35 × 27,599.82
  4. Step 4: Simplify right side
    37,047.66x = 1,411,188,456.54
  5. Step 5: Solve for x
    x = 1,411,188,456.54/37,047.66
  6. Step 6: Final answer
    x = 38,091.16

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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.