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Finding the Fourth Proportional to 84,357.46, 116,409.74 and 48,548.70

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Solution

The fourth proportional to 84,357.46, 116,409.74 and 48,548.70 is: 66,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,357.46 : 116,409.74 = 48,548.70 : x
  2. Step 2: Convert to fraction form
    84,357.46/116,409.74 = 48,548.70/x
  3. Step 3: Cross multiply
    84,357.46x = 116,409.74 × 48,548.70
  4. Step 4: Simplify right side
    84,357.46x = 5,651,541,544.34
  5. Step 5: Solve for x
    x = 5,651,541,544.34/84,357.46
  6. Step 6: Final answer
    x = 66,995.16

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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.