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Finding the Fourth Proportional to 37,780.60, 56,670.94 and 10,078.60

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Solution

The fourth proportional to 37,780.60, 56,670.94 and 10,078.60 is: 15,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780.60 : 56,670.94 = 10,078.60 : x
  2. Step 2: Convert to fraction form
    37,780.60/56,670.94 = 10,078.60/x
  3. Step 3: Cross multiply
    37,780.60x = 56,670.94 × 10,078.60
  4. Step 4: Simplify right side
    37,780.60x = 571,163,735.88
  5. Step 5: Solve for x
    x = 571,163,735.88/37,780.60
  6. Step 6: Final answer
    x = 15,117.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.