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Finding the Fourth Proportional to 71,554.88, 107,368 and 32,140.16

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Solution

The fourth proportional to 71,554.88, 107,368 and 32,140.16 is: 48,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,554.88 : 107,368 = 32,140.16 : x
  2. Step 2: Convert to fraction form
    71,554.88/107,368 = 32,140.16/x
  3. Step 3: Cross multiply
    71,554.88x = 107,368 × 32,140.16
  4. Step 4: Simplify right side
    71,554.88x = 3,450,824,698.88
  5. Step 5: Solve for x
    x = 3,450,824,698.88/71,554.88
  6. Step 6: Final answer
    x = 48,226.27

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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.