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Finding the Fourth Proportional to 35,774.64, 53,661.96 and 9,480.42

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Solution

The fourth proportional to 35,774.64, 53,661.96 and 9,480.42 is: 14,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774.64 : 53,661.96 = 9,480.42 : x
  2. Step 2: Convert to fraction form
    35,774.64/53,661.96 = 9,480.42/x
  3. Step 3: Cross multiply
    35,774.64x = 53,661.96 × 9,480.42
  4. Step 4: Simplify right side
    35,774.64x = 508,737,918.82
  5. Step 5: Solve for x
    x = 508,737,918.82/35,774.64
  6. Step 6: Final answer
    x = 14,220.63

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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.