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Finding the Fourth Proportional to 32,128.64, 48,006.88 and 23,201.48

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Solution

The fourth proportional to 32,128.64, 48,006.88 and 23,201.48 is: 34,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,128.64 : 48,006.88 = 23,201.48 : x
  2. Step 2: Convert to fraction form
    32,128.64/48,006.88 = 23,201.48/x
  3. Step 3: Cross multiply
    32,128.64x = 48,006.88 × 23,201.48
  4. Step 4: Simplify right side
    32,128.64x = 1,113,830,666.18
  5. Step 5: Solve for x
    x = 1,113,830,666.18/32,128.64
  6. Step 6: Final answer
    x = 34,667.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.