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Finding the Fourth Proportional to 107,294.14, 160,947.37 and 28,406.32

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Solution

The fourth proportional to 107,294.14, 160,947.37 and 28,406.32 is: 42,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294.14 : 160,947.37 = 28,406.32 : x
  2. Step 2: Convert to fraction form
    107,294.14/160,947.37 = 28,406.32/x
  3. Step 3: Cross multiply
    107,294.14x = 160,947.37 × 28,406.32
  4. Step 4: Simplify right side
    107,294.14x = 4,571,922,461.34
  5. Step 5: Solve for x
    x = 4,571,922,461.34/107,294.14
  6. Step 6: Final answer
    x = 42,611.11

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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.