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Finding the Fourth Proportional to 85,667.49, 128,504.16 and 29,507.13

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Solution

The fourth proportional to 85,667.49, 128,504.16 and 29,507.13 is: 44,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,667.49 : 128,504.16 = 29,507.13 : x
  2. Step 2: Convert to fraction form
    85,667.49/128,504.16 = 29,507.13/x
  3. Step 3: Cross multiply
    85,667.49x = 128,504.16 × 29,507.13
  4. Step 4: Simplify right side
    85,667.49x = 3,791,788,954.66
  5. Step 5: Solve for x
    x = 3,791,788,954.66/85,667.49
  6. Step 6: Final answer
    x = 44,261.70

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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.