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Finding the Fourth Proportional to 32,030.07, 48,074.41 and 16,246

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Solution

The fourth proportional to 32,030.07, 48,074.41 and 16,246 is: 24,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.07 : 48,074.41 = 16,246 : x
  2. Step 2: Convert to fraction form
    32,030.07/48,074.41 = 16,246/x
  3. Step 3: Cross multiply
    32,030.07x = 48,074.41 × 16,246
  4. Step 4: Simplify right side
    32,030.07x = 781,016,783.63
  5. Step 5: Solve for x
    x = 781,016,783.63/32,030.07
  6. Step 6: Final answer
    x = 24,383.86

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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.