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Finding the Fourth Proportional to 27,283.47, 37,650.83 and 15,346.80

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Solution

The fourth proportional to 27,283.47, 37,650.83 and 15,346.80 is: 21,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.47 : 37,650.83 = 15,346.80 : x
  2. Step 2: Convert to fraction form
    27,283.47/37,650.83 = 15,346.80/x
  3. Step 3: Cross multiply
    27,283.47x = 37,650.83 × 15,346.80
  4. Step 4: Simplify right side
    27,283.47x = 577,819,681.11
  5. Step 5: Solve for x
    x = 577,819,681.11/27,283.47
  6. Step 6: Final answer
    x = 21,178.38

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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.