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Finding the Fourth Proportional to 32,970.96, 49,458.71 and 13,249.53

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Solution

The fourth proportional to 32,970.96, 49,458.71 and 13,249.53 is: 19,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.96 : 49,458.71 = 13,249.53 : x
  2. Step 2: Convert to fraction form
    32,970.96/49,458.71 = 13,249.53/x
  3. Step 3: Cross multiply
    32,970.96x = 49,458.71 × 13,249.53
  4. Step 4: Simplify right side
    32,970.96x = 655,304,695.03
  5. Step 5: Solve for x
    x = 655,304,695.03/32,970.96
  6. Step 6: Final answer
    x = 19,875.21

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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.