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Finding the Fourth Proportional to 37,640.90, 56,466.72 and 12,335

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Solution

The fourth proportional to 37,640.90, 56,466.72 and 12,335 is: 18,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.90 : 56,466.72 = 12,335 : x
  2. Step 2: Convert to fraction form
    37,640.90/56,466.72 = 12,335/x
  3. Step 3: Cross multiply
    37,640.90x = 56,466.72 × 12,335
  4. Step 4: Simplify right side
    37,640.90x = 696,516,991.20
  5. Step 5: Solve for x
    x = 696,516,991.20/37,640.90
  6. Step 6: Final answer
    x = 18,504.26

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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.