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Finding the Fourth Proportional to 37,758.60, 56,637.90 and 34,000.20

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Solution

The fourth proportional to 37,758.60, 56,637.90 and 34,000.20 is: 51,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.60 : 56,637.90 = 34,000.20 : x
  2. Step 2: Convert to fraction form
    37,758.60/56,637.90 = 34,000.20/x
  3. Step 3: Cross multiply
    37,758.60x = 56,637.90 × 34,000.20
  4. Step 4: Simplify right side
    37,758.60x = 1,925,699,927.58
  5. Step 5: Solve for x
    x = 1,925,699,927.58/37,758.60
  6. Step 6: Final answer
    x = 51,000.30

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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.