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Finding the Fourth Proportional to 47,163, 65,051.64 and 40,040.40

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Solution

The fourth proportional to 47,163, 65,051.64 and 40,040.40 is: 55,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,163 : 65,051.64 = 40,040.40 : x
  2. Step 2: Convert to fraction form
    47,163/65,051.64 = 40,040.40/x
  3. Step 3: Cross multiply
    47,163x = 65,051.64 × 40,040.40
  4. Step 4: Simplify right side
    47,163x = 2,604,693,686.26
  5. Step 5: Solve for x
    x = 2,604,693,686.26/47,163
  6. Step 6: Final answer
    x = 55,227.48

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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.