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Finding the Fourth Proportional to 32,485, 44,830.38 and 19,907.32

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Solution

The fourth proportional to 32,485, 44,830.38 and 19,907.32 is: 27,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,485 : 44,830.38 = 19,907.32 : x
  2. Step 2: Convert to fraction form
    32,485/44,830.38 = 19,907.32/x
  3. Step 3: Cross multiply
    32,485x = 44,830.38 × 19,907.32
  4. Step 4: Simplify right side
    32,485x = 892,452,720.38
  5. Step 5: Solve for x
    x = 892,452,720.38/32,485
  6. Step 6: Final answer
    x = 27,472.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.