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Finding the Fourth Proportional to 75,777.48, 104,567.22 and 42,237

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Solution

The fourth proportional to 75,777.48, 104,567.22 and 42,237 is: 58,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,777.48 : 104,567.22 = 42,237 : x
  2. Step 2: Convert to fraction form
    75,777.48/104,567.22 = 42,237/x
  3. Step 3: Cross multiply
    75,777.48x = 104,567.22 × 42,237
  4. Step 4: Simplify right side
    75,777.48x = 4,416,605,671.14
  5. Step 5: Solve for x
    x = 4,416,605,671.14/75,777.48
  6. Step 6: Final answer
    x = 58,283.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.