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Finding the Fourth Proportional to 32,284.47, 44,574.10 and 20,203.32

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Solution

The fourth proportional to 32,284.47, 44,574.10 and 20,203.32 is: 27,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.47 : 44,574.10 = 20,203.32 : x
  2. Step 2: Convert to fraction form
    32,284.47/44,574.10 = 20,203.32/x
  3. Step 3: Cross multiply
    32,284.47x = 44,574.10 × 20,203.32
  4. Step 4: Simplify right side
    32,284.47x = 900,544,922.66
  5. Step 5: Solve for x
    x = 900,544,922.66/32,284.47
  6. Step 6: Final answer
    x = 27,894.06

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