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Finding the Fourth Proportional to 38,668.54, 58,266.28 and 31,802.40

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Solution

The fourth proportional to 38,668.54, 58,266.28 and 31,802.40 is: 47,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,668.54 : 58,266.28 = 31,802.40 : x
  2. Step 2: Convert to fraction form
    38,668.54/58,266.28 = 31,802.40/x
  3. Step 3: Cross multiply
    38,668.54x = 58,266.28 × 31,802.40
  4. Step 4: Simplify right side
    38,668.54x = 1,853,007,543.07
  5. Step 5: Solve for x
    x = 1,853,007,543.07/38,668.54
  6. Step 6: Final answer
    x = 47,920.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.