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Finding the Fourth Proportional to 101,770.32, 140,459.84 and 56,462.89

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Solution

The fourth proportional to 101,770.32, 140,459.84 and 56,462.89 is: 77,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,770.32 : 140,459.84 = 56,462.89 : x
  2. Step 2: Convert to fraction form
    101,770.32/140,459.84 = 56,462.89/x
  3. Step 3: Cross multiply
    101,770.32x = 140,459.84 × 56,462.89
  4. Step 4: Simplify right side
    101,770.32x = 7,930,768,495.34
  5. Step 5: Solve for x
    x = 7,930,768,495.34/101,770.32
  6. Step 6: Final answer
    x = 77,928.11

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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.