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Finding the Fourth Proportional to 61,147.68, 84,384.70 and 35,653.36

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Solution

The fourth proportional to 61,147.68, 84,384.70 and 35,653.36 is: 49,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,147.68 : 84,384.70 = 35,653.36 : x
  2. Step 2: Convert to fraction form
    61,147.68/84,384.70 = 35,653.36/x
  3. Step 3: Cross multiply
    61,147.68x = 84,384.70 × 35,653.36
  4. Step 4: Simplify right side
    61,147.68x = 3,008,598,087.59
  5. Step 5: Solve for x
    x = 3,008,598,087.59/61,147.68
  6. Step 6: Final answer
    x = 49,202.16

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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.