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Finding the Fourth Proportional to 37,684.60, 52,005.78 and 24,281.80

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Solution

The fourth proportional to 37,684.60, 52,005.78 and 24,281.80 is: 33,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.60 : 52,005.78 = 24,281.80 : x
  2. Step 2: Convert to fraction form
    37,684.60/52,005.78 = 24,281.80/x
  3. Step 3: Cross multiply
    37,684.60x = 52,005.78 × 24,281.80
  4. Step 4: Simplify right side
    37,684.60x = 1,262,793,948.80
  5. Step 5: Solve for x
    x = 1,262,793,948.80/37,684.60
  6. Step 6: Final answer
    x = 33,509.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.