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Finding the Fourth Proportional to 92,357.12, 138,486 and 47,873.60

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Solution

The fourth proportional to 92,357.12, 138,486 and 47,873.60 is: 71,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,357.12 : 138,486 = 47,873.60 : x
  2. Step 2: Convert to fraction form
    92,357.12/138,486 = 47,873.60/x
  3. Step 3: Cross multiply
    92,357.12x = 138,486 × 47,873.60
  4. Step 4: Simplify right side
    92,357.12x = 6,629,823,369.60
  5. Step 5: Solve for x
    x = 6,629,823,369.60/92,357.12
  6. Step 6: Final answer
    x = 71,784.65

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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.