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Finding the Fourth Proportional to 27,248.92, 37,606.87 and 15,312

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Solution

The fourth proportional to 27,248.92, 37,606.87 and 15,312 is: 21,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248.92 : 37,606.87 = 15,312 : x
  2. Step 2: Convert to fraction form
    27,248.92/37,606.87 = 15,312/x
  3. Step 3: Cross multiply
    27,248.92x = 37,606.87 × 15,312
  4. Step 4: Simplify right side
    27,248.92x = 575,836,393.44
  5. Step 5: Solve for x
    x = 575,836,393.44/27,248.92
  6. Step 6: Final answer
    x = 21,132.45

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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.