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Finding the Fourth Proportional to 49,643.60, 74,465.40 and 47,493.20

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Solution

The fourth proportional to 49,643.60, 74,465.40 and 47,493.20 is: 71,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,643.60 : 74,465.40 = 47,493.20 : x
  2. Step 2: Convert to fraction form
    49,643.60/74,465.40 = 47,493.20/x
  3. Step 3: Cross multiply
    49,643.60x = 74,465.40 × 47,493.20
  4. Step 4: Simplify right side
    49,643.60x = 3,536,600,135.28
  5. Step 5: Solve for x
    x = 3,536,600,135.28/49,643.60
  6. Step 6: Final answer
    x = 71,239.80

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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.