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Finding the Fourth Proportional to 37,564.76, 56,356.02 and 12,264.14

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Solution

The fourth proportional to 37,564.76, 56,356.02 and 12,264.14 is: 18,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564.76 : 56,356.02 = 12,264.14 : x
  2. Step 2: Convert to fraction form
    37,564.76/56,356.02 = 12,264.14/x
  3. Step 3: Cross multiply
    37,564.76x = 56,356.02 × 12,264.14
  4. Step 4: Simplify right side
    37,564.76x = 691,158,119.12
  5. Step 5: Solve for x
    x = 691,158,119.12/37,564.76
  6. Step 6: Final answer
    x = 18,399.11

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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.