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Finding the Fourth Proportional to 102,448.50, 153,742.14 and 35,889.18

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Solution

The fourth proportional to 102,448.50, 153,742.14 and 35,889.18 is: 53,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,448.50 : 153,742.14 = 35,889.18 : x
  2. Step 2: Convert to fraction form
    102,448.50/153,742.14 = 35,889.18/x
  3. Step 3: Cross multiply
    102,448.50x = 153,742.14 × 35,889.18
  4. Step 4: Simplify right side
    102,448.50x = 5,517,679,336.05
  5. Step 5: Solve for x
    x = 5,517,679,336.05/102,448.50
  6. Step 6: Final answer
    x = 53,858.08

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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.