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Finding the Fourth Proportional to 105,570.53, 158,355.80 and 26,684.76

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Solution

The fourth proportional to 105,570.53, 158,355.80 and 26,684.76 is: 40,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,570.53 : 158,355.80 = 26,684.76 : x
  2. Step 2: Convert to fraction form
    105,570.53/158,355.80 = 26,684.76/x
  3. Step 3: Cross multiply
    105,570.53x = 158,355.80 × 26,684.76
  4. Step 4: Simplify right side
    105,570.53x = 4,225,686,517.61
  5. Step 5: Solve for x
    x = 4,225,686,517.61/105,570.53
  6. Step 6: Final answer
    x = 40,027.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.