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Finding the Fourth Proportional to 38,547.96, 53,190.64 and 22,414.72

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Solution

The fourth proportional to 38,547.96, 53,190.64 and 22,414.72 is: 30,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547.96 : 53,190.64 = 22,414.72 : x
  2. Step 2: Convert to fraction form
    38,547.96/53,190.64 = 22,414.72/x
  3. Step 3: Cross multiply
    38,547.96x = 53,190.64 × 22,414.72
  4. Step 4: Simplify right side
    38,547.96x = 1,192,253,302.22
  5. Step 5: Solve for x
    x = 1,192,253,302.22/38,547.96
  6. Step 6: Final answer
    x = 30,929.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.