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Finding the Fourth Proportional to 107,064.28, 160,584 and 28,184.67

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Solution

The fourth proportional to 107,064.28, 160,584 and 28,184.67 is: 42,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,064.28 : 160,584 = 28,184.67 : x
  2. Step 2: Convert to fraction form
    107,064.28/160,584 = 28,184.67/x
  3. Step 3: Cross multiply
    107,064.28x = 160,584 × 28,184.67
  4. Step 4: Simplify right side
    107,064.28x = 4,526,007,047.28
  5. Step 5: Solve for x
    x = 4,526,007,047.28/107,064.28
  6. Step 6: Final answer
    x = 42,273.74

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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.