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Finding the Fourth Proportional to 31,296.66, 46,945.20 and 10,520.16

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Solution

The fourth proportional to 31,296.66, 46,945.20 and 10,520.16 is: 15,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.66 : 46,945.20 = 10,520.16 : x
  2. Step 2: Convert to fraction form
    31,296.66/46,945.20 = 10,520.16/x
  3. Step 3: Cross multiply
    31,296.66x = 46,945.20 × 10,520.16
  4. Step 4: Simplify right side
    31,296.66x = 493,871,015.23
  5. Step 5: Solve for x
    x = 493,871,015.23/31,296.66
  6. Step 6: Final answer
    x = 15,780.31

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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.