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Finding the Fourth Proportional to 97,169.82, 134,127.90 and 56,896.53

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Solution

The fourth proportional to 97,169.82, 134,127.90 and 56,896.53 is: 78,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,169.82 : 134,127.90 = 56,896.53 : x
  2. Step 2: Convert to fraction form
    97,169.82/134,127.90 = 56,896.53/x
  3. Step 3: Cross multiply
    97,169.82x = 134,127.90 × 56,896.53
  4. Step 4: Simplify right side
    97,169.82x = 7,631,411,415.55
  5. Step 5: Solve for x
    x = 7,631,411,415.55/97,169.82
  6. Step 6: Final answer
    x = 78,536.85

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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.