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Finding the Fourth Proportional to 61,697.82, 92,535.06 and 30,076.14

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Solution

The fourth proportional to 61,697.82, 92,535.06 and 30,076.14 is: 45,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,697.82 : 92,535.06 = 30,076.14 : x
  2. Step 2: Convert to fraction form
    61,697.82/92,535.06 = 30,076.14/x
  3. Step 3: Cross multiply
    61,697.82x = 92,535.06 × 30,076.14
  4. Step 4: Simplify right side
    61,697.82x = 2,783,097,419.47
  5. Step 5: Solve for x
    x = 2,783,097,419.47/61,697.82
  6. Step 6: Final answer
    x = 45,108.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.