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Finding the Fourth Proportional to 37,038.76, 55,563.90 and 12,409

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Solution

The fourth proportional to 37,038.76, 55,563.90 and 12,409 is: 18,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.76 : 55,563.90 = 12,409 : x
  2. Step 2: Convert to fraction form
    37,038.76/55,563.90 = 12,409/x
  3. Step 3: Cross multiply
    37,038.76x = 55,563.90 × 12,409
  4. Step 4: Simplify right side
    37,038.76x = 689,492,435.10
  5. Step 5: Solve for x
    x = 689,492,435.10/37,038.76
  6. Step 6: Final answer
    x = 18,615.43

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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.