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Finding the Fourth Proportional to 97,536.94, 134,600.97 and 52,824.94

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Solution

The fourth proportional to 97,536.94, 134,600.97 and 52,824.94 is: 72,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,536.94 : 134,600.97 = 52,824.94 : x
  2. Step 2: Convert to fraction form
    97,536.94/134,600.97 = 52,824.94/x
  3. Step 3: Cross multiply
    97,536.94x = 134,600.97 × 52,824.94
  4. Step 4: Simplify right side
    97,536.94x = 7,110,288,164.19
  5. Step 5: Solve for x
    x = 7,110,288,164.19/97,536.94
  6. Step 6: Final answer
    x = 72,898.41

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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.