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Finding the Fourth Proportional to 34,320.51, 51,468.69 and 10,297.65

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Solution

The fourth proportional to 34,320.51, 51,468.69 and 10,297.65 is: 15,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,320.51 : 51,468.69 = 10,297.65 : x
  2. Step 2: Convert to fraction form
    34,320.51/51,468.69 = 10,297.65/x
  3. Step 3: Cross multiply
    34,320.51x = 51,468.69 × 10,297.65
  4. Step 4: Simplify right side
    34,320.51x = 530,006,555.58
  5. Step 5: Solve for x
    x = 530,006,555.58/34,320.51
  6. Step 6: Final answer
    x = 15,442.85

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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.