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Finding the Fourth Proportional to 34,110, 47,074.76 and 19,208.88

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Solution

The fourth proportional to 34,110, 47,074.76 and 19,208.88 is: 26,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,110 : 47,074.76 = 19,208.88 : x
  2. Step 2: Convert to fraction form
    34,110/47,074.76 = 19,208.88/x
  3. Step 3: Cross multiply
    34,110x = 47,074.76 × 19,208.88
  4. Step 4: Simplify right side
    34,110x = 904,253,415.87
  5. Step 5: Solve for x
    x = 904,253,415.87/34,110
  6. Step 6: Final answer
    x = 26,509.92

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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.