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Finding the Fourth Proportional to 32,854.78, 45,339.62 and 17,950.78

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Solution

The fourth proportional to 32,854.78, 45,339.62 and 17,950.78 is: 24,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.78 : 45,339.62 = 17,950.78 : x
  2. Step 2: Convert to fraction form
    32,854.78/45,339.62 = 17,950.78/x
  3. Step 3: Cross multiply
    32,854.78x = 45,339.62 × 17,950.78
  4. Step 4: Simplify right side
    32,854.78x = 813,881,510.82
  5. Step 5: Solve for x
    x = 813,881,510.82/32,854.78
  6. Step 6: Final answer
    x = 24,772.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.