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Finding the Fourth Proportional to 35,463.24, 48,938.16 and 19,548

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Solution

The fourth proportional to 35,463.24, 48,938.16 and 19,548 is: 26,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,463.24 : 48,938.16 = 19,548 : x
  2. Step 2: Convert to fraction form
    35,463.24/48,938.16 = 19,548/x
  3. Step 3: Cross multiply
    35,463.24x = 48,938.16 × 19,548
  4. Step 4: Simplify right side
    35,463.24x = 956,643,151.68
  5. Step 5: Solve for x
    x = 956,643,151.68/35,463.24
  6. Step 6: Final answer
    x = 26,975.63

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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.