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Finding the Fourth Proportional to 47,118.08, 65,026.02 and 29,224.98

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Solution

The fourth proportional to 47,118.08, 65,026.02 and 29,224.98 is: 40,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,118.08 : 65,026.02 = 29,224.98 : x
  2. Step 2: Convert to fraction form
    47,118.08/65,026.02 = 29,224.98/x
  3. Step 3: Cross multiply
    47,118.08x = 65,026.02 × 29,224.98
  4. Step 4: Simplify right side
    47,118.08x = 1,900,384,133.98
  5. Step 5: Solve for x
    x = 1,900,384,133.98/47,118.08
  6. Step 6: Final answer
    x = 40,332.38

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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.