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Finding the Fourth Proportional to 38,460.91, 53,078.72 and 21,468.47

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Solution

The fourth proportional to 38,460.91, 53,078.72 and 21,468.47 is: 29,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460.91 : 53,078.72 = 21,468.47 : x
  2. Step 2: Convert to fraction form
    38,460.91/53,078.72 = 21,468.47/x
  3. Step 3: Cross multiply
    38,460.91x = 53,078.72 × 21,468.47
  4. Step 4: Simplify right side
    38,460.91x = 1,139,518,642.56
  5. Step 5: Solve for x
    x = 1,139,518,642.56/38,460.91
  6. Step 6: Final answer
    x = 29,627.97

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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.