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Finding the Fourth Proportional to 32,943.68, 49,418.26 and 9,570.12

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Solution

The fourth proportional to 32,943.68, 49,418.26 and 9,570.12 is: 14,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,943.68 : 49,418.26 = 9,570.12 : x
  2. Step 2: Convert to fraction form
    32,943.68/49,418.26 = 9,570.12/x
  3. Step 3: Cross multiply
    32,943.68x = 49,418.26 × 9,570.12
  4. Step 4: Simplify right side
    32,943.68x = 472,938,678.39
  5. Step 5: Solve for x
    x = 472,938,678.39/32,943.68
  6. Step 6: Final answer
    x = 14,355.98

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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.