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Finding the Fourth Proportional to 35,770.15, 53,656.25 and 9,474.90

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Solution

The fourth proportional to 35,770.15, 53,656.25 and 9,474.90 is: 14,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.15 : 53,656.25 = 9,474.90 : x
  2. Step 2: Convert to fraction form
    35,770.15/53,656.25 = 9,474.90/x
  3. Step 3: Cross multiply
    35,770.15x = 53,656.25 × 9,474.90
  4. Step 4: Simplify right side
    35,770.15x = 508,387,354.54
  5. Step 5: Solve for x
    x = 508,387,354.54/35,770.15
  6. Step 6: Final answer
    x = 14,212.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.