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Finding the Fourth Proportional to 27,480.48, 37,922.80 and 14,905.28

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Solution

The fourth proportional to 27,480.48, 37,922.80 and 14,905.28 is: 20,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480.48 : 37,922.80 = 14,905.28 : x
  2. Step 2: Convert to fraction form
    27,480.48/37,922.80 = 14,905.28/x
  3. Step 3: Cross multiply
    27,480.48x = 37,922.80 × 14,905.28
  4. Step 4: Simplify right side
    27,480.48x = 565,249,952.38
  5. Step 5: Solve for x
    x = 565,249,952.38/27,480.48
  6. Step 6: Final answer
    x = 20,569.14

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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.