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Finding the Fourth Proportional to 32,707.20, 49,027.20 and 16,041.60

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Solution

The fourth proportional to 32,707.20, 49,027.20 and 16,041.60 is: 24,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707.20 : 49,027.20 = 16,041.60 : x
  2. Step 2: Convert to fraction form
    32,707.20/49,027.20 = 16,041.60/x
  3. Step 3: Cross multiply
    32,707.20x = 49,027.20 × 16,041.60
  4. Step 4: Simplify right side
    32,707.20x = 786,474,731.52
  5. Step 5: Solve for x
    x = 786,474,731.52/32,707.20
  6. Step 6: Final answer
    x = 24,045.92

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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.