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Finding the Fourth Proportional to 97,678.06, 134,796.54 and 52,966.06

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Solution

The fourth proportional to 97,678.06, 134,796.54 and 52,966.06 is: 73,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,678.06 : 134,796.54 = 52,966.06 : x
  2. Step 2: Convert to fraction form
    97,678.06/134,796.54 = 52,966.06/x
  3. Step 3: Cross multiply
    97,678.06x = 134,796.54 × 52,966.06
  4. Step 4: Simplify right side
    97,678.06x = 7,139,641,625.43
  5. Step 5: Solve for x
    x = 7,139,641,625.43/97,678.06
  6. Step 6: Final answer
    x = 73,093.61

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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.