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Finding the Fourth Proportional to 114,993.36, 172,432.08 and 35,016

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Solution

The fourth proportional to 114,993.36, 172,432.08 and 35,016 is: 52,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,993.36 : 172,432.08 = 35,016 : x
  2. Step 2: Convert to fraction form
    114,993.36/172,432.08 = 35,016/x
  3. Step 3: Cross multiply
    114,993.36x = 172,432.08 × 35,016
  4. Step 4: Simplify right side
    114,993.36x = 6,037,881,713.28
  5. Step 5: Solve for x
    x = 6,037,881,713.28/114,993.36
  6. Step 6: Final answer
    x = 52,506.35

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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.