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Finding the Fourth Proportional to 56,639.44, 84,969.36 and 46,202

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Solution

The fourth proportional to 56,639.44, 84,969.36 and 46,202 is: 69,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,639.44 : 84,969.36 = 46,202 : x
  2. Step 2: Convert to fraction form
    56,639.44/84,969.36 = 46,202/x
  3. Step 3: Cross multiply
    56,639.44x = 84,969.36 × 46,202
  4. Step 4: Simplify right side
    56,639.44x = 3,925,754,370.72
  5. Step 5: Solve for x
    x = 3,925,754,370.72/56,639.44
  6. Step 6: Final answer
    x = 69,311.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.