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Finding the Fourth Proportional to 76,472.99, 105,549.59 and 42,493.14

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Solution

The fourth proportional to 76,472.99, 105,549.59 and 42,493.14 is: 58,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,472.99 : 105,549.59 = 42,493.14 : x
  2. Step 2: Convert to fraction form
    76,472.99/105,549.59 = 42,493.14/x
  3. Step 3: Cross multiply
    76,472.99x = 105,549.59 × 42,493.14
  4. Step 4: Simplify right side
    76,472.99x = 4,485,133,292.35
  5. Step 5: Solve for x
    x = 4,485,133,292.35/76,472.99
  6. Step 6: Final answer
    x = 58,649.90

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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.