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Finding the Fourth Proportional to 52,859.16, 72,947.34 and 30,193.32

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Solution

The fourth proportional to 52,859.16, 72,947.34 and 30,193.32 is: 41,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,859.16 : 72,947.34 = 30,193.32 : x
  2. Step 2: Convert to fraction form
    52,859.16/72,947.34 = 30,193.32/x
  3. Step 3: Cross multiply
    52,859.16x = 72,947.34 × 30,193.32
  4. Step 4: Simplify right side
    52,859.16x = 2,202,522,379.77
  5. Step 5: Solve for x
    x = 2,202,522,379.77/52,859.16
  6. Step 6: Final answer
    x = 41,667.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.