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Finding the Fourth Proportional to 102,142.80, 153,214.29 and 32,027.58

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Solution

The fourth proportional to 102,142.80, 153,214.29 and 32,027.58 is: 48,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.80 : 153,214.29 = 32,027.58 : x
  2. Step 2: Convert to fraction form
    102,142.80/153,214.29 = 32,027.58/x
  3. Step 3: Cross multiply
    102,142.80x = 153,214.29 × 32,027.58
  4. Step 4: Simplify right side
    102,142.80x = 4,907,082,930.12
  5. Step 5: Solve for x
    x = 4,907,082,930.12/102,142.80
  6. Step 6: Final answer
    x = 48,041.40

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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.