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Finding the Fourth Proportional to 49,952.04, 74,941.02 and 24,991.08

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Solution

The fourth proportional to 49,952.04, 74,941.02 and 24,991.08 is: 37,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952.04 : 74,941.02 = 24,991.08 : x
  2. Step 2: Convert to fraction form
    49,952.04/74,941.02 = 24,991.08/x
  3. Step 3: Cross multiply
    49,952.04x = 74,941.02 × 24,991.08
  4. Step 4: Simplify right side
    49,952.04x = 1,872,857,026.10
  5. Step 5: Solve for x
    x = 1,872,857,026.10/49,952.04
  6. Step 6: Final answer
    x = 37,493.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.