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Finding the Fourth Proportional to 97,764.84, 134,915.49 and 53,052.84

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Solution

The fourth proportional to 97,764.84, 134,915.49 and 53,052.84 is: 73,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,764.84 : 134,915.49 = 53,052.84 : x
  2. Step 2: Convert to fraction form
    97,764.84/134,915.49 = 53,052.84/x
  3. Step 3: Cross multiply
    97,764.84x = 134,915.49 × 53,052.84
  4. Step 4: Simplify right side
    97,764.84x = 7,157,649,904.49
  5. Step 5: Solve for x
    x = 7,157,649,904.49/97,764.84
  6. Step 6: Final answer
    x = 73,212.93

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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.