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Finding the Fourth Proportional to 66,448, 91,699.74 and 37,763.14

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Solution

The fourth proportional to 66,448, 91,699.74 and 37,763.14 is: 52,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,448 : 91,699.74 = 37,763.14 : x
  2. Step 2: Convert to fraction form
    66,448/91,699.74 = 37,763.14/x
  3. Step 3: Cross multiply
    66,448x = 91,699.74 × 37,763.14
  4. Step 4: Simplify right side
    66,448x = 3,462,870,119.58
  5. Step 5: Solve for x
    x = 3,462,870,119.58/66,448
  6. Step 6: Final answer
    x = 52,113.99

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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.