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Finding the Fourth Proportional to 37,061, 55,597.26 and 12,442.76

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Solution

The fourth proportional to 37,061, 55,597.26 and 12,442.76 is: 18,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,061 : 55,597.26 = 12,442.76 : x
  2. Step 2: Convert to fraction form
    37,061/55,597.26 = 12,442.76/x
  3. Step 3: Cross multiply
    37,061x = 55,597.26 × 12,442.76
  4. Step 4: Simplify right side
    37,061x = 691,783,362.84
  5. Step 5: Solve for x
    x = 691,783,362.84/37,061
  6. Step 6: Final answer
    x = 18,666.07

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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.