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Finding the Fourth Proportional to 70,701, 97,564.88 and 38,869.68

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Solution

The fourth proportional to 70,701, 97,564.88 and 38,869.68 is: 53,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,701 : 97,564.88 = 38,869.68 : x
  2. Step 2: Convert to fraction form
    70,701/97,564.88 = 38,869.68/x
  3. Step 3: Cross multiply
    70,701x = 97,564.88 × 38,869.68
  4. Step 4: Simplify right side
    70,701x = 3,792,315,664.84
  5. Step 5: Solve for x
    x = 3,792,315,664.84/70,701
  6. Step 6: Final answer
    x = 53,638.78

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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.