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Finding the Fourth Proportional to 49,018.90, 67,646.07 and 27,798.16

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Solution

The fourth proportional to 49,018.90, 67,646.07 and 27,798.16 is: 38,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,018.90 : 67,646.07 = 27,798.16 : x
  2. Step 2: Convert to fraction form
    49,018.90/67,646.07 = 27,798.16/x
  3. Step 3: Cross multiply
    49,018.90x = 67,646.07 × 27,798.16
  4. Step 4: Simplify right side
    49,018.90x = 1,880,436,277.23
  5. Step 5: Solve for x
    x = 1,880,436,277.23/49,018.90
  6. Step 6: Final answer
    x = 38,361.45

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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.