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Finding the Fourth Proportional to 32,859.36, 49,284.18 and 12,078

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Solution

The fourth proportional to 32,859.36, 49,284.18 and 12,078 is: 18,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,859.36 : 49,284.18 = 12,078 : x
  2. Step 2: Convert to fraction form
    32,859.36/49,284.18 = 12,078/x
  3. Step 3: Cross multiply
    32,859.36x = 49,284.18 × 12,078
  4. Step 4: Simplify right side
    32,859.36x = 595,254,326.04
  5. Step 5: Solve for x
    x = 595,254,326.04/32,859.36
  6. Step 6: Final answer
    x = 18,115.21

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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.