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Finding the Fourth Proportional to 35,312.94, 48,719.97 and 19,997.40

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Solution

The fourth proportional to 35,312.94, 48,719.97 and 19,997.40 is: 27,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,312.94 : 48,719.97 = 19,997.40 : x
  2. Step 2: Convert to fraction form
    35,312.94/48,719.97 = 19,997.40/x
  3. Step 3: Cross multiply
    35,312.94x = 48,719.97 × 19,997.40
  4. Step 4: Simplify right side
    35,312.94x = 974,272,728.08
  5. Step 5: Solve for x
    x = 974,272,728.08/35,312.94
  6. Step 6: Final answer
    x = 27,589.68

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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.