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Finding the Fourth Proportional to 34,798.40, 52,197.35 and 8,502.90

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Solution

The fourth proportional to 34,798.40, 52,197.35 and 8,502.90 is: 12,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,798.40 : 52,197.35 = 8,502.90 : x
  2. Step 2: Convert to fraction form
    34,798.40/52,197.35 = 8,502.90/x
  3. Step 3: Cross multiply
    34,798.40x = 52,197.35 × 8,502.90
  4. Step 4: Simplify right side
    34,798.40x = 443,828,847.32
  5. Step 5: Solve for x
    x = 443,828,847.32/34,798.40
  6. Step 6: Final answer
    x = 12,754.29

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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.