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Finding the Fourth Proportional to 27,746.30, 38,280.50 and 15,801.16

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Solution

The fourth proportional to 27,746.30, 38,280.50 and 15,801.16 is: 21,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.30 : 38,280.50 = 15,801.16 : x
  2. Step 2: Convert to fraction form
    27,746.30/38,280.50 = 15,801.16/x
  3. Step 3: Cross multiply
    27,746.30x = 38,280.50 × 15,801.16
  4. Step 4: Simplify right side
    27,746.30x = 604,876,305.38
  5. Step 5: Solve for x
    x = 604,876,305.38/27,746.30
  6. Step 6: Final answer
    x = 21,800.25

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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.