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Finding the Fourth Proportional to 42,852.66, 64,167.21 and 34,486.98

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Solution

The fourth proportional to 42,852.66, 64,167.21 and 34,486.98 is: 51,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,852.66 : 64,167.21 = 34,486.98 : x
  2. Step 2: Convert to fraction form
    42,852.66/64,167.21 = 34,486.98/x
  3. Step 3: Cross multiply
    42,852.66x = 64,167.21 × 34,486.98
  4. Step 4: Simplify right side
    42,852.66x = 2,212,933,287.93
  5. Step 5: Solve for x
    x = 2,212,933,287.93/42,852.66
  6. Step 6: Final answer
    x = 51,640.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.