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Finding the Fourth Proportional to 32,950.26, 49,432.68 and 9,574.74

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Solution

The fourth proportional to 32,950.26, 49,432.68 and 9,574.74 is: 14,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.26 : 49,432.68 = 9,574.74 : x
  2. Step 2: Convert to fraction form
    32,950.26/49,432.68 = 9,574.74/x
  3. Step 3: Cross multiply
    32,950.26x = 49,432.68 × 9,574.74
  4. Step 4: Simplify right side
    32,950.26x = 473,305,058.50
  5. Step 5: Solve for x
    x = 473,305,058.50/32,950.26
  6. Step 6: Final answer
    x = 14,364.23

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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.