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Finding the Fourth Proportional to 93,874, 129,546.12 and 51,433.51

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Solution

The fourth proportional to 93,874, 129,546.12 and 51,433.51 is: 70,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,874 : 129,546.12 = 51,433.51 : x
  2. Step 2: Convert to fraction form
    93,874/129,546.12 = 51,433.51/x
  3. Step 3: Cross multiply
    93,874x = 129,546.12 × 51,433.51
  4. Step 4: Simplify right side
    93,874x = 6,663,011,658.48
  5. Step 5: Solve for x
    x = 6,663,011,658.48/93,874
  6. Step 6: Final answer
    x = 70,978.24

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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.