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Finding the Fourth Proportional to 69,716.13, 104,590.59 and 22,969

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Solution

The fourth proportional to 69,716.13, 104,590.59 and 22,969 is: 34,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,716.13 : 104,590.59 = 22,969 : x
  2. Step 2: Convert to fraction form
    69,716.13/104,590.59 = 22,969/x
  3. Step 3: Cross multiply
    69,716.13x = 104,590.59 × 22,969
  4. Step 4: Simplify right side
    69,716.13x = 2,402,341,261.71
  5. Step 5: Solve for x
    x = 2,402,341,261.71/69,716.13
  6. Step 6: Final answer
    x = 34,458.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.