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Finding the Fourth Proportional to 51,957, 71,707.68 and 29,300.64

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Solution

The fourth proportional to 51,957, 71,707.68 and 29,300.64 is: 40,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957 : 71,707.68 = 29,300.64 : x
  2. Step 2: Convert to fraction form
    51,957/71,707.68 = 29,300.64/x
  3. Step 3: Cross multiply
    51,957x = 71,707.68 × 29,300.64
  4. Step 4: Simplify right side
    51,957x = 2,101,080,916.92
  5. Step 5: Solve for x
    x = 2,101,080,916.92/51,957
  6. Step 6: Final answer
    x = 40,438.84

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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.