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Finding the Fourth Proportional to 32,842.81, 49,265.28 and 12,851.52

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Solution

The fourth proportional to 32,842.81, 49,265.28 and 12,851.52 is: 19,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.81 : 49,265.28 = 12,851.52 : x
  2. Step 2: Convert to fraction form
    32,842.81/49,265.28 = 12,851.52/x
  3. Step 3: Cross multiply
    32,842.81x = 49,265.28 × 12,851.52
  4. Step 4: Simplify right side
    32,842.81x = 633,133,731.23
  5. Step 5: Solve for x
    x = 633,133,731.23/32,842.81
  6. Step 6: Final answer
    x = 19,277.70

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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.