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Finding the Fourth Proportional to 56,476.68, 77,938.42 and 30,983.09

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Solution

The fourth proportional to 56,476.68, 77,938.42 and 30,983.09 is: 42,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,476.68 : 77,938.42 = 30,983.09 : x
  2. Step 2: Convert to fraction form
    56,476.68/77,938.42 = 30,983.09/x
  3. Step 3: Cross multiply
    56,476.68x = 77,938.42 × 30,983.09
  4. Step 4: Simplify right side
    56,476.68x = 2,414,773,081.32
  5. Step 5: Solve for x
    x = 2,414,773,081.32/56,476.68
  6. Step 6: Final answer
    x = 42,756.99

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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.