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Finding the Fourth Proportional to 55,689.57, 83,538.32 and 22,409.82

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Solution

The fourth proportional to 55,689.57, 83,538.32 and 22,409.82 is: 33,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689.57 : 83,538.32 = 22,409.82 : x
  2. Step 2: Convert to fraction form
    55,689.57/83,538.32 = 22,409.82/x
  3. Step 3: Cross multiply
    55,689.57x = 83,538.32 × 22,409.82
  4. Step 4: Simplify right side
    55,689.57x = 1,872,078,602.25
  5. Step 5: Solve for x
    x = 1,872,078,602.25/55,689.57
  6. Step 6: Final answer
    x = 33,616.32

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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.