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Finding the Fourth Proportional to 31,176.99, 46,785.99 and 11,455.71

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Solution

The fourth proportional to 31,176.99, 46,785.99 and 11,455.71 is: 17,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.99 : 46,785.99 = 11,455.71 : x
  2. Step 2: Convert to fraction form
    31,176.99/46,785.99 = 11,455.71/x
  3. Step 3: Cross multiply
    31,176.99x = 46,785.99 × 11,455.71
  4. Step 4: Simplify right side
    31,176.99x = 535,966,733.50
  5. Step 5: Solve for x
    x = 535,966,733.50/31,176.99
  6. Step 6: Final answer
    x = 17,191.10

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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.