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Finding the Fourth Proportional to 32,103.47, 48,178.80 and 15,236.51

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Solution

The fourth proportional to 32,103.47, 48,178.80 and 15,236.51 is: 22,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.47 : 48,178.80 = 15,236.51 : x
  2. Step 2: Convert to fraction form
    32,103.47/48,178.80 = 15,236.51/x
  3. Step 3: Cross multiply
    32,103.47x = 48,178.80 × 15,236.51
  4. Step 4: Simplify right side
    32,103.47x = 734,076,527.09
  5. Step 5: Solve for x
    x = 734,076,527.09/32,103.47
  6. Step 6: Final answer
    x = 22,865.95

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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.