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Finding the Fourth Proportional to 49,018.95, 67,646.16 and 27,798.30

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Solution

The fourth proportional to 49,018.95, 67,646.16 and 27,798.30 is: 38,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,018.95 : 67,646.16 = 27,798.30 : x
  2. Step 2: Convert to fraction form
    49,018.95/67,646.16 = 27,798.30/x
  3. Step 3: Cross multiply
    49,018.95x = 67,646.16 × 27,798.30
  4. Step 4: Simplify right side
    49,018.95x = 1,880,448,249.53
  5. Step 5: Solve for x
    x = 1,880,448,249.53/49,018.95
  6. Step 6: Final answer
    x = 38,361.66

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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.