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Finding the Fourth Proportional to 35,297.86, 48,711.84 and 19,382.38

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Solution

The fourth proportional to 35,297.86, 48,711.84 and 19,382.38 is: 26,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297.86 : 48,711.84 = 19,382.38 : x
  2. Step 2: Convert to fraction form
    35,297.86/48,711.84 = 19,382.38/x
  3. Step 3: Cross multiply
    35,297.86x = 48,711.84 × 19,382.38
  4. Step 4: Simplify right side
    35,297.86x = 944,151,393.38
  5. Step 5: Solve for x
    x = 944,151,393.38/35,297.86
  6. Step 6: Final answer
    x = 26,748.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.