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Finding the Fourth Proportional to 37,642.10, 51,968.62 and 23,514.08

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Solution

The fourth proportional to 37,642.10, 51,968.62 and 23,514.08 is: 32,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.10 : 51,968.62 = 23,514.08 : x
  2. Step 2: Convert to fraction form
    37,642.10/51,968.62 = 23,514.08/x
  3. Step 3: Cross multiply
    37,642.10x = 51,968.62 × 23,514.08
  4. Step 4: Simplify right side
    37,642.10x = 1,221,994,288.17
  5. Step 5: Solve for x
    x = 1,221,994,288.17/37,642.10
  6. Step 6: Final answer
    x = 32,463.50

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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.