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Finding the Fourth Proportional to 31,564.80, 47,314.80 and 18,410.40

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Solution

The fourth proportional to 31,564.80, 47,314.80 and 18,410.40 is: 27,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.80 : 47,314.80 = 18,410.40 : x
  2. Step 2: Convert to fraction form
    31,564.80/47,314.80 = 18,410.40/x
  3. Step 3: Cross multiply
    31,564.80x = 47,314.80 × 18,410.40
  4. Step 4: Simplify right side
    31,564.80x = 871,084,393.92
  5. Step 5: Solve for x
    x = 871,084,393.92/31,564.80
  6. Step 6: Final answer
    x = 27,596.70

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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.