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Finding the Fourth Proportional to 32,969.66, 49,462.27 and 10,782.95

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Solution

The fourth proportional to 32,969.66, 49,462.27 and 10,782.95 is: 16,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.66 : 49,462.27 = 10,782.95 : x
  2. Step 2: Convert to fraction form
    32,969.66/49,462.27 = 10,782.95/x
  3. Step 3: Cross multiply
    32,969.66x = 49,462.27 × 10,782.95
  4. Step 4: Simplify right side
    32,969.66x = 533,349,184.30
  5. Step 5: Solve for x
    x = 533,349,184.30/32,969.66
  6. Step 6: Final answer
    x = 16,176.97

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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.