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Finding the Fourth Proportional to 35,310.48, 52,965.72 and 9,014.28

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Solution

The fourth proportional to 35,310.48, 52,965.72 and 9,014.28 is: 13,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,310.48 : 52,965.72 = 9,014.28 : x
  2. Step 2: Convert to fraction form
    35,310.48/52,965.72 = 9,014.28/x
  3. Step 3: Cross multiply
    35,310.48x = 52,965.72 × 9,014.28
  4. Step 4: Simplify right side
    35,310.48x = 477,447,830.48
  5. Step 5: Solve for x
    x = 477,447,830.48/35,310.48
  6. Step 6: Final answer
    x = 13,521.42

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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.