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Finding the Fourth Proportional to 31,201.44, 46,772.64 and 10,410

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Solution

The fourth proportional to 31,201.44, 46,772.64 and 10,410 is: 15,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.44 : 46,772.64 = 10,410 : x
  2. Step 2: Convert to fraction form
    31,201.44/46,772.64 = 10,410/x
  3. Step 3: Cross multiply
    31,201.44x = 46,772.64 × 10,410
  4. Step 4: Simplify right side
    31,201.44x = 486,903,182.40
  5. Step 5: Solve for x
    x = 486,903,182.40/31,201.44
  6. Step 6: Final answer
    x = 15,605.15

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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.