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Finding the Fourth Proportional to 61,412.57, 91,971.24 and 35,037.35

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Solution

The fourth proportional to 61,412.57, 91,971.24 and 35,037.35 is: 52,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412.57 : 91,971.24 = 35,037.35 : x
  2. Step 2: Convert to fraction form
    61,412.57/91,971.24 = 35,037.35/x
  3. Step 3: Cross multiply
    61,412.57x = 91,971.24 × 35,037.35
  4. Step 4: Simplify right side
    61,412.57x = 3,222,428,895.34
  5. Step 5: Solve for x
    x = 3,222,428,895.34/61,412.57
  6. Step 6: Final answer
    x = 52,471.81

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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.