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Finding the Fourth Proportional to 34,319.51, 51,467.19 and 10,296.65

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Solution

The fourth proportional to 34,319.51, 51,467.19 and 10,296.65 is: 15,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.51 : 51,467.19 = 10,296.65 : x
  2. Step 2: Convert to fraction form
    34,319.51/51,467.19 = 10,296.65/x
  3. Step 3: Cross multiply
    34,319.51x = 51,467.19 × 10,296.65
  4. Step 4: Simplify right side
    34,319.51x = 529,939,384.58
  5. Step 5: Solve for x
    x = 529,939,384.58/34,319.51
  6. Step 6: Final answer
    x = 15,441.35

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