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Finding the Fourth Proportional to 32,120.16, 44,326.12 and 19,374

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Solution

The fourth proportional to 32,120.16, 44,326.12 and 19,374 is: 26,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.16 : 44,326.12 = 19,374 : x
  2. Step 2: Convert to fraction form
    32,120.16/44,326.12 = 19,374/x
  3. Step 3: Cross multiply
    32,120.16x = 44,326.12 × 19,374
  4. Step 4: Simplify right side
    32,120.16x = 858,774,248.88
  5. Step 5: Solve for x
    x = 858,774,248.88/32,120.16
  6. Step 6: Final answer
    x = 26,736.30

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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.