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Finding the Fourth Proportional to 31,224.32, 46,840.80 and 12,752

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Solution

The fourth proportional to 31,224.32, 46,840.80 and 12,752 is: 19,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.32 : 46,840.80 = 12,752 : x
  2. Step 2: Convert to fraction form
    31,224.32/46,840.80 = 12,752/x
  3. Step 3: Cross multiply
    31,224.32x = 46,840.80 × 12,752
  4. Step 4: Simplify right side
    31,224.32x = 597,313,881.60
  5. Step 5: Solve for x
    x = 597,313,881.60/31,224.32
  6. Step 6: Final answer
    x = 19,129.76

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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.