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Finding the Fourth Proportional to 55,824.71, 83,639.55 and 46,524.49

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Solution

The fourth proportional to 55,824.71, 83,639.55 and 46,524.49 is: 69,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,824.71 : 83,639.55 = 46,524.49 : x
  2. Step 2: Convert to fraction form
    55,824.71/83,639.55 = 46,524.49/x
  3. Step 3: Cross multiply
    55,824.71x = 83,639.55 × 46,524.49
  4. Step 4: Simplify right side
    55,824.71x = 3,891,287,407.58
  5. Step 5: Solve for x
    x = 3,891,287,407.58/55,824.71
  6. Step 6: Final answer
    x = 69,705.47

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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.