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Finding the Fourth Proportional to 32,859.18, 45,347.58 and 20,284.14

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Solution

The fourth proportional to 32,859.18, 45,347.58 and 20,284.14 is: 27,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,859.18 : 45,347.58 = 20,284.14 : x
  2. Step 2: Convert to fraction form
    32,859.18/45,347.58 = 20,284.14/x
  3. Step 3: Cross multiply
    32,859.18x = 45,347.58 × 20,284.14
  4. Step 4: Simplify right side
    32,859.18x = 919,836,661.38
  5. Step 5: Solve for x
    x = 919,836,661.38/32,859.18
  6. Step 6: Final answer
    x = 27,993.29

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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.