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Finding the Fourth Proportional to 30,050.10, 45,071.67 and 7,865.61

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Solution

The fourth proportional to 30,050.10, 45,071.67 and 7,865.61 is: 11,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050.10 : 45,071.67 = 7,865.61 : x
  2. Step 2: Convert to fraction form
    30,050.10/45,071.67 = 7,865.61/x
  3. Step 3: Cross multiply
    30,050.10x = 45,071.67 × 7,865.61
  4. Step 4: Simplify right side
    30,050.10x = 354,516,178.27
  5. Step 5: Solve for x
    x = 354,516,178.27/30,050.10
  6. Step 6: Final answer
    x = 11,797.50

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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.