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Finding the Fourth Proportional to 30,259.78, 41,752.32 and 17,682.10

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Solution

The fourth proportional to 30,259.78, 41,752.32 and 17,682.10 is: 24,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.78 : 41,752.32 = 17,682.10 : x
  2. Step 2: Convert to fraction form
    30,259.78/41,752.32 = 17,682.10/x
  3. Step 3: Cross multiply
    30,259.78x = 41,752.32 × 17,682.10
  4. Step 4: Simplify right side
    30,259.78x = 738,268,697.47
  5. Step 5: Solve for x
    x = 738,268,697.47/30,259.78
  6. Step 6: Final answer
    x = 24,397.69

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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.