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Finding the Fourth Proportional to 39,083.40, 53,951.22 and 27,920.52

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Solution

The fourth proportional to 39,083.40, 53,951.22 and 27,920.52 is: 38,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,083.40 : 53,951.22 = 27,920.52 : x
  2. Step 2: Convert to fraction form
    39,083.40/53,951.22 = 27,920.52/x
  3. Step 3: Cross multiply
    39,083.40x = 53,951.22 × 27,920.52
  4. Step 4: Simplify right side
    39,083.40x = 1,506,346,117.03
  5. Step 5: Solve for x
    x = 1,506,346,117.03/39,083.40
  6. Step 6: Final answer
    x = 38,541.84

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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.