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Finding the Fourth Proportional to 37,475.19, 56,193.80 and 12,506.31

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Solution

The fourth proportional to 37,475.19, 56,193.80 and 12,506.31 is: 18,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,475.19 : 56,193.80 = 12,506.31 : x
  2. Step 2: Convert to fraction form
    37,475.19/56,193.80 = 12,506.31/x
  3. Step 3: Cross multiply
    37,475.19x = 56,193.80 × 12,506.31
  4. Step 4: Simplify right side
    37,475.19x = 702,777,020.35
  5. Step 5: Solve for x
    x = 702,777,020.35/37,475.19
  6. Step 6: Final answer
    x = 18,753.13

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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.