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Finding the Fourth Proportional to 109,527.12, 164,306.80 and 34,630.32

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Solution

The fourth proportional to 109,527.12, 164,306.80 and 34,630.32 is: 51,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,527.12 : 164,306.80 = 34,630.32 : x
  2. Step 2: Convert to fraction form
    109,527.12/164,306.80 = 34,630.32/x
  3. Step 3: Cross multiply
    109,527.12x = 164,306.80 × 34,630.32
  4. Step 4: Simplify right side
    109,527.12x = 5,689,997,062.18
  5. Step 5: Solve for x
    x = 5,689,997,062.18/109,527.12
  6. Step 6: Final answer
    x = 51,950.58

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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.