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Finding the Fourth Proportional to 61,678.60, 92,496.30 and 32,086.60

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Solution

The fourth proportional to 61,678.60, 92,496.30 and 32,086.60 is: 48,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.60 : 92,496.30 = 32,086.60 : x
  2. Step 2: Convert to fraction form
    61,678.60/92,496.30 = 32,086.60/x
  3. Step 3: Cross multiply
    61,678.60x = 92,496.30 × 32,086.60
  4. Step 4: Simplify right side
    61,678.60x = 2,967,891,779.58
  5. Step 5: Solve for x
    x = 2,967,891,779.58/61,678.60
  6. Step 6: Final answer
    x = 48,118.66

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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.