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Finding the Fourth Proportional to 102,506.19, 153,758.37 and 32,385.50

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Solution

The fourth proportional to 102,506.19, 153,758.37 and 32,385.50 is: 48,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.19 : 153,758.37 = 32,385.50 : x
  2. Step 2: Convert to fraction form
    102,506.19/153,758.37 = 32,385.50/x
  3. Step 3: Cross multiply
    102,506.19x = 153,758.37 × 32,385.50
  4. Step 4: Simplify right side
    102,506.19x = 4,979,541,691.64
  5. Step 5: Solve for x
    x = 4,979,541,691.64/102,506.19
  6. Step 6: Final answer
    x = 48,577.96

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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.