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Finding the Fourth Proportional to 34,284.51, 47,317.66 and 20,853.16

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Solution

The fourth proportional to 34,284.51, 47,317.66 and 20,853.16 is: 28,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284.51 : 47,317.66 = 20,853.16 : x
  2. Step 2: Convert to fraction form
    34,284.51/47,317.66 = 20,853.16/x
  3. Step 3: Cross multiply
    34,284.51x = 47,317.66 × 20,853.16
  4. Step 4: Simplify right side
    34,284.51x = 986,722,564.38
  5. Step 5: Solve for x
    x = 986,722,564.38/34,284.51
  6. Step 6: Final answer
    x = 28,780.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.