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Finding the Fourth Proportional to 71,975.84, 99,326.18 and 39,712.12

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Solution

The fourth proportional to 71,975.84, 99,326.18 and 39,712.12 is: 54,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,975.84 : 99,326.18 = 39,712.12 : x
  2. Step 2: Convert to fraction form
    71,975.84/99,326.18 = 39,712.12/x
  3. Step 3: Cross multiply
    71,975.84x = 99,326.18 × 39,712.12
  4. Step 4: Simplify right side
    71,975.84x = 3,944,453,179.30
  5. Step 5: Solve for x
    x = 3,944,453,179.30/71,975.84
  6. Step 6: Final answer
    x = 54,802.46

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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.