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Finding the Fourth Proportional to 56,325.46, 77,720.97 and 36,184

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Solution

The fourth proportional to 56,325.46, 77,720.97 and 36,184 is: 49,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,325.46 : 77,720.97 = 36,184 : x
  2. Step 2: Convert to fraction form
    56,325.46/77,720.97 = 36,184/x
  3. Step 3: Cross multiply
    56,325.46x = 77,720.97 × 36,184
  4. Step 4: Simplify right side
    56,325.46x = 2,812,255,578.48
  5. Step 5: Solve for x
    x = 2,812,255,578.48/56,325.46
  6. Step 6: Final answer
    x = 49,928.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.