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Finding the Fourth Proportional to 35,684.40, 53,496.45 and 22,507.77

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Solution

The fourth proportional to 35,684.40, 53,496.45 and 22,507.77 is: 33,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.40 : 53,496.45 = 22,507.77 : x
  2. Step 2: Convert to fraction form
    35,684.40/53,496.45 = 22,507.77/x
  3. Step 3: Cross multiply
    35,684.40x = 53,496.45 × 22,507.77
  4. Step 4: Simplify right side
    35,684.40x = 1,204,085,792.42
  5. Step 5: Solve for x
    x = 1,204,085,792.42/35,684.40
  6. Step 6: Final answer
    x = 33,742.64

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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.