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Finding the Fourth Proportional to 70,784.84, 97,683.77 and 38,954.48

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Solution

The fourth proportional to 70,784.84, 97,683.77 and 38,954.48 is: 53,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784.84 : 97,683.77 = 38,954.48 : x
  2. Step 2: Convert to fraction form
    70,784.84/97,683.77 = 38,954.48/x
  3. Step 3: Cross multiply
    70,784.84x = 97,683.77 × 38,954.48
  4. Step 4: Simplify right side
    70,784.84x = 3,805,220,073.76
  5. Step 5: Solve for x
    x = 3,805,220,073.76/70,784.84
  6. Step 6: Final answer
    x = 53,757.56

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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.