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Finding the Fourth Proportional to 109,902.15, 164,864.07 and 31,017.06

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Solution

The fourth proportional to 109,902.15, 164,864.07 and 31,017.06 is: 46,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.15 : 164,864.07 = 31,017.06 : x
  2. Step 2: Convert to fraction form
    109,902.15/164,864.07 = 31,017.06/x
  3. Step 3: Cross multiply
    109,902.15x = 164,864.07 × 31,017.06
  4. Step 4: Simplify right side
    109,902.15x = 5,113,598,751.03
  5. Step 5: Solve for x
    x = 5,113,598,751.03/109,902.15
  6. Step 6: Final answer
    x = 46,528.65

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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.