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Finding the Fourth Proportional to 32,721.36, 49,047 and 12,972.56

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Solution

The fourth proportional to 32,721.36, 49,047 and 12,972.56 is: 19,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,721.36 : 49,047 = 12,972.56 : x
  2. Step 2: Convert to fraction form
    32,721.36/49,047 = 12,972.56/x
  3. Step 3: Cross multiply
    32,721.36x = 49,047 × 12,972.56
  4. Step 4: Simplify right side
    32,721.36x = 636,265,150.32
  5. Step 5: Solve for x
    x = 636,265,150.32/32,721.36
  6. Step 6: Final answer
    x = 19,444.95

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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.