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Finding the Fourth Proportional to 30,296.63, 45,437.88 and 11,569.79

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Solution

The fourth proportional to 30,296.63, 45,437.88 and 11,569.79 is: 17,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.63 : 45,437.88 = 11,569.79 : x
  2. Step 2: Convert to fraction form
    30,296.63/45,437.88 = 11,569.79/x
  3. Step 3: Cross multiply
    30,296.63x = 45,437.88 × 11,569.79
  4. Step 4: Simplify right side
    30,296.63x = 525,706,729.65
  5. Step 5: Solve for x
    x = 525,706,729.65/30,296.63
  6. Step 6: Final answer
    x = 17,351.99

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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.