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Finding the Fourth Proportional to 32,978.80, 49,475.22 and 9,603.28

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Solution

The fourth proportional to 32,978.80, 49,475.22 and 9,603.28 is: 14,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.80 : 49,475.22 = 9,603.28 : x
  2. Step 2: Convert to fraction form
    32,978.80/49,475.22 = 9,603.28/x
  3. Step 3: Cross multiply
    32,978.80x = 49,475.22 × 9,603.28
  4. Step 4: Simplify right side
    32,978.80x = 475,124,390.72
  5. Step 5: Solve for x
    x = 475,124,390.72/32,978.80
  6. Step 6: Final answer
    x = 14,406.96

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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.