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Finding the Fourth Proportional to 31,828.46, 48,041.79 and 31,828.46

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Solution

The fourth proportional to 31,828.46, 48,041.79 and 31,828.46 is: 48,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,828.46 : 48,041.79 = 31,828.46 : x
  2. Step 2: Convert to fraction form
    31,828.46/48,041.79 = 31,828.46/x
  3. Step 3: Cross multiply
    31,828.46x = 48,041.79 × 31,828.46
  4. Step 4: Simplify right side
    31,828.46x = 1,529,095,951.13
  5. Step 5: Solve for x
    x = 1,529,095,951.13/31,828.46
  6. Step 6: Final answer
    x = 48,041.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.