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Finding the Fourth Proportional to 35,266.98, 52,900.78 and 8,971.75

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Solution

The fourth proportional to 35,266.98, 52,900.78 and 8,971.75 is: 13,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,266.98 : 52,900.78 = 8,971.75 : x
  2. Step 2: Convert to fraction form
    35,266.98/52,900.78 = 8,971.75/x
  3. Step 3: Cross multiply
    35,266.98x = 52,900.78 × 8,971.75
  4. Step 4: Simplify right side
    35,266.98x = 474,612,572.97
  5. Step 5: Solve for x
    x = 474,612,572.97/35,266.98
  6. Step 6: Final answer
    x = 13,457.70

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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.