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Finding the Fourth Proportional to 66,848.49, 100,161.56 and 47,085.30

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Solution

The fourth proportional to 66,848.49, 100,161.56 and 47,085.30 is: 70,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,848.49 : 100,161.56 = 47,085.30 : x
  2. Step 2: Convert to fraction form
    66,848.49/100,161.56 = 47,085.30/x
  3. Step 3: Cross multiply
    66,848.49x = 100,161.56 × 47,085.30
  4. Step 4: Simplify right side
    66,848.49x = 4,716,137,218.78
  5. Step 5: Solve for x
    x = 4,716,137,218.78/66,848.49
  6. Step 6: Final answer
    x = 70,549.64

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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.