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Finding the Fourth Proportional to 31,050.52, 46,560.66 and 10,267

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Solution

The fourth proportional to 31,050.52, 46,560.66 and 10,267 is: 15,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050.52 : 46,560.66 = 10,267 : x
  2. Step 2: Convert to fraction form
    31,050.52/46,560.66 = 10,267/x
  3. Step 3: Cross multiply
    31,050.52x = 46,560.66 × 10,267
  4. Step 4: Simplify right side
    31,050.52x = 478,038,296.22
  5. Step 5: Solve for x
    x = 478,038,296.22/31,050.52
  6. Step 6: Final answer
    x = 15,395.50

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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.