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Finding the Fourth Proportional to 114,046.46, 171,058.75 and 35,139.50

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Solution

The fourth proportional to 114,046.46, 171,058.75 and 35,139.50 is: 52,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,046.46 : 171,058.75 = 35,139.50 : x
  2. Step 2: Convert to fraction form
    114,046.46/171,058.75 = 35,139.50/x
  3. Step 3: Cross multiply
    114,046.46x = 171,058.75 × 35,139.50
  4. Step 4: Simplify right side
    114,046.46x = 6,010,918,643.95
  5. Step 5: Solve for x
    x = 6,010,918,643.95/114,046.46
  6. Step 6: Final answer
    x = 52,705.88

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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.