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Finding the Fourth Proportional to 66,574.48, 91,834.68 and 47,458.48

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Solution

The fourth proportional to 66,574.48, 91,834.68 and 47,458.48 is: 65,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,574.48 : 91,834.68 = 47,458.48 : x
  2. Step 2: Convert to fraction form
    66,574.48/91,834.68 = 47,458.48/x
  3. Step 3: Cross multiply
    66,574.48x = 91,834.68 × 47,458.48
  4. Step 4: Simplify right side
    66,574.48x = 4,358,334,324.09
  5. Step 5: Solve for x
    x = 4,358,334,324.09/66,574.48
  6. Step 6: Final answer
    x = 65,465.54

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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.