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Finding the Fourth Proportional to 66,460.34, 91,720.73 and 37,789

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Solution

The fourth proportional to 66,460.34, 91,720.73 and 37,789 is: 52,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,460.34 : 91,720.73 = 37,789 : x
  2. Step 2: Convert to fraction form
    66,460.34/91,720.73 = 37,789/x
  3. Step 3: Cross multiply
    66,460.34x = 91,720.73 × 37,789
  4. Step 4: Simplify right side
    66,460.34x = 3,466,034,665.97
  5. Step 5: Solve for x
    x = 3,466,034,665.97/66,460.34
  6. Step 6: Final answer
    x = 52,151.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.