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Finding the Fourth Proportional to 56,465.49, 77,923.18 and 30,974.29

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Solution

The fourth proportional to 56,465.49, 77,923.18 and 30,974.29 is: 42,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,465.49 : 77,923.18 = 30,974.29 : x
  2. Step 2: Convert to fraction form
    56,465.49/77,923.18 = 30,974.29/x
  3. Step 3: Cross multiply
    56,465.49x = 77,923.18 × 30,974.29
  4. Step 4: Simplify right side
    56,465.49x = 2,413,615,175.04
  5. Step 5: Solve for x
    x = 2,413,615,175.04/56,465.49
  6. Step 6: Final answer
    x = 42,744.96

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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.