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Finding the Fourth Proportional to 55,701.87, 82,974 and 52,683.81

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Solution

The fourth proportional to 55,701.87, 82,974 and 52,683.81 is: 78,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,701.87 : 82,974 = 52,683.81 : x
  2. Step 2: Convert to fraction form
    55,701.87/82,974 = 52,683.81/x
  3. Step 3: Cross multiply
    55,701.87x = 82,974 × 52,683.81
  4. Step 4: Simplify right side
    55,701.87x = 4,371,386,450.94
  5. Step 5: Solve for x
    x = 4,371,386,450.94/55,701.87
  6. Step 6: Final answer
    x = 78,478.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.