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Finding the Fourth Proportional to 97,564.02, 134,638.38 and 52,852.02

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Solution

The fourth proportional to 97,564.02, 134,638.38 and 52,852.02 is: 72,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,564.02 : 134,638.38 = 52,852.02 : x
  2. Step 2: Convert to fraction form
    97,564.02/134,638.38 = 52,852.02/x
  3. Step 3: Cross multiply
    97,564.02x = 134,638.38 × 52,852.02
  4. Step 4: Simplify right side
    97,564.02x = 7,115,910,352.53
  5. Step 5: Solve for x
    x = 7,115,910,352.53/97,564.02
  6. Step 6: Final answer
    x = 72,935.81

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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.