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Finding the Fourth Proportional to 51,762.76, 71,416.02 and 31,902.28

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Solution

The fourth proportional to 51,762.76, 71,416.02 and 31,902.28 is: 44,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762.76 : 71,416.02 = 31,902.28 : x
  2. Step 2: Convert to fraction form
    51,762.76/71,416.02 = 31,902.28/x
  3. Step 3: Cross multiply
    51,762.76x = 71,416.02 × 31,902.28
  4. Step 4: Simplify right side
    51,762.76x = 2,278,333,866.53
  5. Step 5: Solve for x
    x = 2,278,333,866.53/51,762.76
  6. Step 6: Final answer
    x = 44,014.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.