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Finding the Fourth Proportional to 37,847.70, 56,697.74 and 32,582.50

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Solution

The fourth proportional to 37,847.70, 56,697.74 and 32,582.50 is: 48,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,847.70 : 56,697.74 = 32,582.50 : x
  2. Step 2: Convert to fraction form
    37,847.70/56,697.74 = 32,582.50/x
  3. Step 3: Cross multiply
    37,847.70x = 56,697.74 × 32,582.50
  4. Step 4: Simplify right side
    37,847.70x = 1,847,353,808.89
  5. Step 5: Solve for x
    x = 1,847,353,808.89/37,847.70
  6. Step 6: Final answer
    x = 48,810.20

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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.