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Finding the Fourth Proportional to 31,117.52, 46,661.12 and 10,334

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Solution

The fourth proportional to 31,117.52, 46,661.12 and 10,334 is: 15,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.52 : 46,661.12 = 10,334 : x
  2. Step 2: Convert to fraction form
    31,117.52/46,661.12 = 10,334/x
  3. Step 3: Cross multiply
    31,117.52x = 46,661.12 × 10,334
  4. Step 4: Simplify right side
    31,117.52x = 482,196,014.08
  5. Step 5: Solve for x
    x = 482,196,014.08/31,117.52
  6. Step 6: Final answer
    x = 15,495.97

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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.