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Finding the Fourth Proportional to 31,037.78, 46,543.01 and 8,846.11

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Solution

The fourth proportional to 31,037.78, 46,543.01 and 8,846.11 is: 13,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037.78 : 46,543.01 = 8,846.11 : x
  2. Step 2: Convert to fraction form
    31,037.78/46,543.01 = 8,846.11/x
  3. Step 3: Cross multiply
    31,037.78x = 46,543.01 × 8,846.11
  4. Step 4: Simplify right side
    31,037.78x = 411,724,600.14
  5. Step 5: Solve for x
    x = 411,724,600.14/31,037.78
  6. Step 6: Final answer
    x = 13,265.27

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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.