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Finding the Fourth Proportional to 32,199.42, 48,312.42 and 14,178.39

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Solution

The fourth proportional to 32,199.42, 48,312.42 and 14,178.39 is: 21,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.42 : 48,312.42 = 14,178.39 : x
  2. Step 2: Convert to fraction form
    32,199.42/48,312.42 = 14,178.39/x
  3. Step 3: Cross multiply
    32,199.42x = 48,312.42 × 14,178.39
  4. Step 4: Simplify right side
    32,199.42x = 684,992,332.60
  5. Step 5: Solve for x
    x = 684,992,332.60/32,199.42
  6. Step 6: Final answer
    x = 21,273.44

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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.