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Finding the Fourth Proportional to 93,821.82, 129,472.86 and 51,380.38

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Solution

The fourth proportional to 93,821.82, 129,472.86 and 51,380.38 is: 70,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,821.82 : 129,472.86 = 51,380.38 : x
  2. Step 2: Convert to fraction form
    93,821.82/129,472.86 = 51,380.38/x
  3. Step 3: Cross multiply
    93,821.82x = 129,472.86 × 51,380.38
  4. Step 4: Simplify right side
    93,821.82x = 6,652,364,746.49
  5. Step 5: Solve for x
    x = 6,652,364,746.49/93,821.82
  6. Step 6: Final answer
    x = 70,904.24

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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.