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Finding the Fourth Proportional to 97,758.51, 134,906.67 and 53,046.51

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Solution

The fourth proportional to 97,758.51, 134,906.67 and 53,046.51 is: 73,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,758.51 : 134,906.67 = 53,046.51 : x
  2. Step 2: Convert to fraction form
    97,758.51/134,906.67 = 53,046.51/x
  3. Step 3: Cross multiply
    97,758.51x = 134,906.67 × 53,046.51
  4. Step 4: Simplify right side
    97,758.51x = 7,156,328,019.22
  5. Step 5: Solve for x
    x = 7,156,328,019.22/97,758.51
  6. Step 6: Final answer
    x = 73,204.14

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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.