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Finding the Fourth Proportional to 37,500.08, 56,261.64 and 12,878

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Solution

The fourth proportional to 37,500.08, 56,261.64 and 12,878 is: 19,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,500.08 : 56,261.64 = 12,878 : x
  2. Step 2: Convert to fraction form
    37,500.08/56,261.64 = 12,878/x
  3. Step 3: Cross multiply
    37,500.08x = 56,261.64 × 12,878
  4. Step 4: Simplify right side
    37,500.08x = 724,537,399.92
  5. Step 5: Solve for x
    x = 724,537,399.92/37,500.08
  6. Step 6: Final answer
    x = 19,320.96

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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.