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Finding the Fourth Proportional to 75,823.50, 104,636.43 and 42,289.50

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Solution

The fourth proportional to 75,823.50, 104,636.43 and 42,289.50 is: 58,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823.50 : 104,636.43 = 42,289.50 : x
  2. Step 2: Convert to fraction form
    75,823.50/104,636.43 = 42,289.50/x
  3. Step 3: Cross multiply
    75,823.50x = 104,636.43 × 42,289.50
  4. Step 4: Simplify right side
    75,823.50x = 4,425,022,306.49
  5. Step 5: Solve for x
    x = 4,425,022,306.49/75,823.50
  6. Step 6: Final answer
    x = 58,359.51

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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.