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Finding the Fourth Proportional to 100,008.21, 138,010.38 and 54,685.71

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Solution

The fourth proportional to 100,008.21, 138,010.38 and 54,685.71 is: 75,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,008.21 : 138,010.38 = 54,685.71 : x
  2. Step 2: Convert to fraction form
    100,008.21/138,010.38 = 54,685.71/x
  3. Step 3: Cross multiply
    100,008.21x = 138,010.38 × 54,685.71
  4. Step 4: Simplify right side
    100,008.21x = 7,547,195,617.67
  5. Step 5: Solve for x
    x = 7,547,195,617.67/100,008.21
  6. Step 6: Final answer
    x = 75,465.76

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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.