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Finding the Fourth Proportional to 101,795.34, 140,474.96 and 56,473.10

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Solution

The fourth proportional to 101,795.34, 140,474.96 and 56,473.10 is: 77,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,795.34 : 140,474.96 = 56,473.10 : x
  2. Step 2: Convert to fraction form
    101,795.34/140,474.96 = 56,473.10/x
  3. Step 3: Cross multiply
    101,795.34x = 140,474.96 × 56,473.10
  4. Step 4: Simplify right side
    101,795.34x = 7,933,056,463.58
  5. Step 5: Solve for x
    x = 7,933,056,463.58/101,795.34
  6. Step 6: Final answer
    x = 77,931.43

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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.