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Finding the Fourth Proportional to 31,223.40, 46,835.10 and 31,004.70

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Solution

The fourth proportional to 31,223.40, 46,835.10 and 31,004.70 is: 46,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.40 : 46,835.10 = 31,004.70 : x
  2. Step 2: Convert to fraction form
    31,223.40/46,835.10 = 31,004.70/x
  3. Step 3: Cross multiply
    31,223.40x = 46,835.10 × 31,004.70
  4. Step 4: Simplify right side
    31,223.40x = 1,452,108,224.97
  5. Step 5: Solve for x
    x = 1,452,108,224.97/31,223.40
  6. Step 6: Final answer
    x = 46,507.05

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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.