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Finding the Fourth Proportional to 38,585.67, 53,177.17 and 31,830.27

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Solution

The fourth proportional to 38,585.67, 53,177.17 and 31,830.27 is: 43,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585.67 : 53,177.17 = 31,830.27 : x
  2. Step 2: Convert to fraction form
    38,585.67/53,177.17 = 31,830.27/x
  3. Step 3: Cross multiply
    38,585.67x = 53,177.17 × 31,830.27
  4. Step 4: Simplify right side
    38,585.67x = 1,692,643,678.94
  5. Step 5: Solve for x
    x = 1,692,643,678.94/38,585.67
  6. Step 6: Final answer
    x = 43,867.16

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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.