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Finding the Fourth Proportional to 97,538, 134,602.44 and 52,826

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Solution

The fourth proportional to 97,538, 134,602.44 and 52,826 is: 72,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,538 : 134,602.44 = 52,826 : x
  2. Step 2: Convert to fraction form
    97,538/134,602.44 = 52,826/x
  3. Step 3: Cross multiply
    97,538x = 134,602.44 × 52,826
  4. Step 4: Simplify right side
    97,538x = 7,110,508,495.44
  5. Step 5: Solve for x
    x = 7,110,508,495.44/97,538
  6. Step 6: Final answer
    x = 72,899.88

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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.