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Finding the Fourth Proportional to 34,760.16, 52,138.20 and 21,435.72

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Solution

The fourth proportional to 34,760.16, 52,138.20 and 21,435.72 is: 32,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760.16 : 52,138.20 = 21,435.72 : x
  2. Step 2: Convert to fraction form
    34,760.16/52,138.20 = 21,435.72/x
  3. Step 3: Cross multiply
    34,760.16x = 52,138.20 × 21,435.72
  4. Step 4: Simplify right side
    34,760.16x = 1,117,619,856.50
  5. Step 5: Solve for x
    x = 1,117,619,856.50/34,760.16
  6. Step 6: Final answer
    x = 32,152.32

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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.