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Finding the Fourth Proportional to 31,223.10, 46,834.65 and 9,037.20

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Solution

The fourth proportional to 31,223.10, 46,834.65 and 9,037.20 is: 13,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.10 : 46,834.65 = 9,037.20 : x
  2. Step 2: Convert to fraction form
    31,223.10/46,834.65 = 9,037.20/x
  3. Step 3: Cross multiply
    31,223.10x = 46,834.65 × 9,037.20
  4. Step 4: Simplify right side
    31,223.10x = 423,254,098.98
  5. Step 5: Solve for x
    x = 423,254,098.98/31,223.10
  6. Step 6: Final answer
    x = 13,555.80

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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.