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Finding the Fourth Proportional to 109,870, 164,707.26 and 39,733.72

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Solution

The fourth proportional to 109,870, 164,707.26 and 39,733.72 is: 59,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,870 : 164,707.26 = 39,733.72 : x
  2. Step 2: Convert to fraction form
    109,870/164,707.26 = 39,733.72/x
  3. Step 3: Cross multiply
    109,870x = 164,707.26 × 39,733.72
  4. Step 4: Simplify right side
    109,870x = 6,544,432,150.81
  5. Step 5: Solve for x
    x = 6,544,432,150.81/109,870
  6. Step 6: Final answer
    x = 59,565.23

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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.