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Finding the Fourth Proportional to 38,471.48, 53,109.42 and 30,488.12

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Solution

The fourth proportional to 38,471.48, 53,109.42 and 30,488.12 is: 42,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.48 : 53,109.42 = 30,488.12 : x
  2. Step 2: Convert to fraction form
    38,471.48/53,109.42 = 30,488.12/x
  3. Step 3: Cross multiply
    38,471.48x = 53,109.42 × 30,488.12
  4. Step 4: Simplify right side
    38,471.48x = 1,619,206,370.09
  5. Step 5: Solve for x
    x = 1,619,206,370.09/38,471.48
  6. Step 6: Final answer
    x = 42,088.49

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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.