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Finding the Fourth Proportional to 32,036.30, 48,083.98 and 16,252.40

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Solution

The fourth proportional to 32,036.30, 48,083.98 and 16,252.40 is: 24,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,036.30 : 48,083.98 = 16,252.40 : x
  2. Step 2: Convert to fraction form
    32,036.30/48,083.98 = 16,252.40/x
  3. Step 3: Cross multiply
    32,036.30x = 48,083.98 × 16,252.40
  4. Step 4: Simplify right side
    32,036.30x = 781,480,076.55
  5. Step 5: Solve for x
    x = 781,480,076.55/32,036.30
  6. Step 6: Final answer
    x = 24,393.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.