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Finding the Fourth Proportional to 35,689.79, 53,516.46 and 13,199.33

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Solution

The fourth proportional to 35,689.79, 53,516.46 and 13,199.33 is: 19,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.79 : 53,516.46 = 13,199.33 : x
  2. Step 2: Convert to fraction form
    35,689.79/53,516.46 = 13,199.33/x
  3. Step 3: Cross multiply
    35,689.79x = 53,516.46 × 13,199.33
  4. Step 4: Simplify right side
    35,689.79x = 706,381,415.97
  5. Step 5: Solve for x
    x = 706,381,415.97/35,689.79
  6. Step 6: Final answer
    x = 19,792.25

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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.