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Finding the Fourth Proportional to 93,726, 129,343.50 and 51,285.24

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Solution

The fourth proportional to 93,726, 129,343.50 and 51,285.24 is: 70,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,726 : 129,343.50 = 51,285.24 : x
  2. Step 2: Convert to fraction form
    93,726/129,343.50 = 51,285.24/x
  3. Step 3: Cross multiply
    93,726x = 129,343.50 × 51,285.24
  4. Step 4: Simplify right side
    93,726x = 6,633,412,439.94
  5. Step 5: Solve for x
    x = 6,633,412,439.94/93,726
  6. Step 6: Final answer
    x = 70,774.52

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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.