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Finding the Fourth Proportional to 35,265.98, 52,899.28 and 8,970.75

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Solution

The fourth proportional to 35,265.98, 52,899.28 and 8,970.75 is: 13,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,265.98 : 52,899.28 = 8,970.75 : x
  2. Step 2: Convert to fraction form
    35,265.98/52,899.28 = 8,970.75/x
  3. Step 3: Cross multiply
    35,265.98x = 52,899.28 × 8,970.75
  4. Step 4: Simplify right side
    35,265.98x = 474,546,193.63
  5. Step 5: Solve for x
    x = 474,546,193.63/35,265.98
  6. Step 6: Final answer
    x = 13,456.20

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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.