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Finding the Fourth Proportional to 32,569.57, 48,854.34 and 7,945.57

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Solution

The fourth proportional to 32,569.57, 48,854.34 and 7,945.57 is: 11,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,569.57 : 48,854.34 = 7,945.57 : x
  2. Step 2: Convert to fraction form
    32,569.57/48,854.34 = 7,945.57/x
  3. Step 3: Cross multiply
    32,569.57x = 48,854.34 × 7,945.57
  4. Step 4: Simplify right side
    32,569.57x = 388,175,578.27
  5. Step 5: Solve for x
    x = 388,175,578.27/32,569.57
  6. Step 6: Final answer
    x = 11,918.35

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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.