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Finding the Fourth Proportional to 31,888.64, 47,829.12 and 18,569.12

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Solution

The fourth proportional to 31,888.64, 47,829.12 and 18,569.12 is: 27,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.64 : 47,829.12 = 18,569.12 : x
  2. Step 2: Convert to fraction form
    31,888.64/47,829.12 = 18,569.12/x
  3. Step 3: Cross multiply
    31,888.64x = 47,829.12 × 18,569.12
  4. Step 4: Simplify right side
    31,888.64x = 888,144,668.77
  5. Step 5: Solve for x
    x = 888,144,668.77/31,888.64
  6. Step 6: Final answer
    x = 27,851.44

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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.