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Finding the Fourth Proportional to 47,463.88, 65,498.52 and 26,242.96

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Solution

The fourth proportional to 47,463.88, 65,498.52 and 26,242.96 is: 36,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,463.88 : 65,498.52 = 26,242.96 : x
  2. Step 2: Convert to fraction form
    47,463.88/65,498.52 = 26,242.96/x
  3. Step 3: Cross multiply
    47,463.88x = 65,498.52 × 26,242.96
  4. Step 4: Simplify right side
    47,463.88x = 1,718,875,040.42
  5. Step 5: Solve for x
    x = 1,718,875,040.42/47,463.88
  6. Step 6: Final answer
    x = 36,214.38

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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.