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Finding the Fourth Proportional to 34,097.36, 47,054.38 and 18,992.92

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Solution

The fourth proportional to 34,097.36, 47,054.38 and 18,992.92 is: 26,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.36 : 47,054.38 = 18,992.92 : x
  2. Step 2: Convert to fraction form
    34,097.36/47,054.38 = 18,992.92/x
  3. Step 3: Cross multiply
    34,097.36x = 47,054.38 × 18,992.92
  4. Step 4: Simplify right side
    34,097.36x = 893,700,074.99
  5. Step 5: Solve for x
    x = 893,700,074.99/34,097.36
  6. Step 6: Final answer
    x = 26,210.24

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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.