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Finding the Fourth Proportional to 27,875.36, 38,468.01 and 15,128.54

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Solution

The fourth proportional to 27,875.36, 38,468.01 and 15,128.54 is: 20,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.36 : 38,468.01 = 15,128.54 : x
  2. Step 2: Convert to fraction form
    27,875.36/38,468.01 = 15,128.54/x
  3. Step 3: Cross multiply
    27,875.36x = 38,468.01 × 15,128.54
  4. Step 4: Simplify right side
    27,875.36x = 581,964,836.65
  5. Step 5: Solve for x
    x = 581,964,836.65/27,875.36
  6. Step 6: Final answer
    x = 20,877.40

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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.