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Finding the Fourth Proportional to 37,794.60, 56,643.30 and 22,987.80

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Solution

The fourth proportional to 37,794.60, 56,643.30 and 22,987.80 is: 34,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794.60 : 56,643.30 = 22,987.80 : x
  2. Step 2: Convert to fraction form
    37,794.60/56,643.30 = 22,987.80/x
  3. Step 3: Cross multiply
    37,794.60x = 56,643.30 × 22,987.80
  4. Step 4: Simplify right side
    37,794.60x = 1,302,104,851.74
  5. Step 5: Solve for x
    x = 1,302,104,851.74/37,794.60
  6. Step 6: Final answer
    x = 34,452.14

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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.