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Finding the Fourth Proportional to 32,133.36, 48,204.28 and 14,364.16

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Solution

The fourth proportional to 32,133.36, 48,204.28 and 14,364.16 is: 21,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133.36 : 48,204.28 = 14,364.16 : x
  2. Step 2: Convert to fraction form
    32,133.36/48,204.28 = 14,364.16/x
  3. Step 3: Cross multiply
    32,133.36x = 48,204.28 × 14,364.16
  4. Step 4: Simplify right side
    32,133.36x = 692,413,990.60
  5. Step 5: Solve for x
    x = 692,413,990.60/32,133.36
  6. Step 6: Final answer
    x = 21,548.14

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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.