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Finding the Fourth Proportional to 31,216.64, 46,818.92 and 9,024.40

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Solution

The fourth proportional to 31,216.64, 46,818.92 and 9,024.40 is: 13,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.64 : 46,818.92 = 9,024.40 : x
  2. Step 2: Convert to fraction form
    31,216.64/46,818.92 = 9,024.40/x
  3. Step 3: Cross multiply
    31,216.64x = 46,818.92 × 9,024.40
  4. Step 4: Simplify right side
    31,216.64x = 422,512,661.65
  5. Step 5: Solve for x
    x = 422,512,661.65/31,216.64
  6. Step 6: Final answer
    x = 13,534.85

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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.