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Finding the Fourth Proportional to 46,509.57, 69,764.34 and 13,677.57

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Solution

The fourth proportional to 46,509.57, 69,764.34 and 13,677.57 is: 20,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.57 : 69,764.34 = 13,677.57 : x
  2. Step 2: Convert to fraction form
    46,509.57/69,764.34 = 13,677.57/x
  3. Step 3: Cross multiply
    46,509.57x = 69,764.34 × 13,677.57
  4. Step 4: Simplify right side
    46,509.57x = 954,206,643.85
  5. Step 5: Solve for x
    x = 954,206,643.85/46,509.57
  6. Step 6: Final answer
    x = 20,516.35

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1.5x scale

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.