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Finding the Fourth Proportional to 32,409.63, 44,805.56 and 32,114.43

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Solution

The fourth proportional to 32,409.63, 44,805.56 and 32,114.43 is: 44,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.63 : 44,805.56 = 32,114.43 : x
  2. Step 2: Convert to fraction form
    32,409.63/44,805.56 = 32,114.43/x
  3. Step 3: Cross multiply
    32,409.63x = 44,805.56 × 32,114.43
  4. Step 4: Simplify right side
    32,409.63x = 1,438,904,859.66
  5. Step 5: Solve for x
    x = 1,438,904,859.66/32,409.63
  6. Step 6: Final answer
    x = 44,397.45

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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.