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Finding the Fourth Proportional to 32,966.64, 49,449 and 13,239.92

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Solution

The fourth proportional to 32,966.64, 49,449 and 13,239.92 is: 19,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966.64 : 49,449 = 13,239.92 : x
  2. Step 2: Convert to fraction form
    32,966.64/49,449 = 13,239.92/x
  3. Step 3: Cross multiply
    32,966.64x = 49,449 × 13,239.92
  4. Step 4: Simplify right side
    32,966.64x = 654,700,804.08
  5. Step 5: Solve for x
    x = 654,700,804.08/32,966.64
  6. Step 6: Final answer
    x = 19,859.49

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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.