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Finding the Fourth Proportional to 71,752.84, 107,629.50 and 24,973

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Solution

The fourth proportional to 71,752.84, 107,629.50 and 24,973 is: 37,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.84 : 107,629.50 = 24,973 : x
  2. Step 2: Convert to fraction form
    71,752.84/107,629.50 = 24,973/x
  3. Step 3: Cross multiply
    71,752.84x = 107,629.50 × 24,973
  4. Step 4: Simplify right side
    71,752.84x = 2,687,831,503.50
  5. Step 5: Solve for x
    x = 2,687,831,503.50/71,752.84
  6. Step 6: Final answer
    x = 37,459.58

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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.