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Finding the Fourth Proportional to 37,652.25, 56,466.84 and 12,685.59

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Solution

The fourth proportional to 37,652.25, 56,466.84 and 12,685.59 is: 19,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,652.25 : 56,466.84 = 12,685.59 : x
  2. Step 2: Convert to fraction form
    37,652.25/56,466.84 = 12,685.59/x
  3. Step 3: Cross multiply
    37,652.25x = 56,466.84 × 12,685.59
  4. Step 4: Simplify right side
    37,652.25x = 716,315,180.84
  5. Step 5: Solve for x
    x = 716,315,180.84/37,652.25
  6. Step 6: Final answer
    x = 19,024.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.