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Finding the Fourth Proportional to 38,470.83, 53,090.64 and 24,131.27

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Solution

The fourth proportional to 38,470.83, 53,090.64 and 24,131.27 is: 33,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.83 : 53,090.64 = 24,131.27 : x
  2. Step 2: Convert to fraction form
    38,470.83/53,090.64 = 24,131.27/x
  3. Step 3: Cross multiply
    38,470.83x = 53,090.64 × 24,131.27
  4. Step 4: Simplify right side
    38,470.83x = 1,281,144,402.40
  5. Step 5: Solve for x
    x = 1,281,144,402.40/38,470.83
  6. Step 6: Final answer
    x = 33,301.71

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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.