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Finding the Fourth Proportional to 102,779.40, 154,140.30 and 32,680.20

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Solution

The fourth proportional to 102,779.40, 154,140.30 and 32,680.20 is: 49,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,779.40 : 154,140.30 = 32,680.20 : x
  2. Step 2: Convert to fraction form
    102,779.40/154,140.30 = 32,680.20/x
  3. Step 3: Cross multiply
    102,779.40x = 154,140.30 × 32,680.20
  4. Step 4: Simplify right side
    102,779.40x = 5,037,335,832.06
  5. Step 5: Solve for x
    x = 5,037,335,832.06/102,779.40
  6. Step 6: Final answer
    x = 49,011.14

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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.