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Finding the Fourth Proportional to 103,095.90, 154,643.85 and 32,982.30

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Solution

The fourth proportional to 103,095.90, 154,643.85 and 32,982.30 is: 49,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,095.90 : 154,643.85 = 32,982.30 : x
  2. Step 2: Convert to fraction form
    103,095.90/154,643.85 = 32,982.30/x
  3. Step 3: Cross multiply
    103,095.90x = 154,643.85 × 32,982.30
  4. Step 4: Simplify right side
    103,095.90x = 5,100,509,853.86
  5. Step 5: Solve for x
    x = 5,100,509,853.86/103,095.90
  6. Step 6: Final answer
    x = 49,473.45

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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.