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Finding the Fourth Proportional to 102,955.48, 154,431.60 and 32,834.32

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Solution

The fourth proportional to 102,955.48, 154,431.60 and 32,834.32 is: 49,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,955.48 : 154,431.60 = 32,834.32 : x
  2. Step 2: Convert to fraction form
    102,955.48/154,431.60 = 32,834.32/x
  3. Step 3: Cross multiply
    102,955.48x = 154,431.60 × 32,834.32
  4. Step 4: Simplify right side
    102,955.48x = 5,070,656,572.51
  5. Step 5: Solve for x
    x = 5,070,656,572.51/102,955.48
  6. Step 6: Final answer
    x = 49,250.96

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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.