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Finding the Fourth Proportional to 78,467.80, 117,701.70 and 54,848.20

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Solution

The fourth proportional to 78,467.80, 117,701.70 and 54,848.20 is: 82,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,467.80 : 117,701.70 = 54,848.20 : x
  2. Step 2: Convert to fraction form
    78,467.80/117,701.70 = 54,848.20/x
  3. Step 3: Cross multiply
    78,467.80x = 117,701.70 × 54,848.20
  4. Step 4: Simplify right side
    78,467.80x = 6,455,726,381.94
  5. Step 5: Solve for x
    x = 6,455,726,381.94/78,467.80
  6. Step 6: Final answer
    x = 82,272.30

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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.