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Finding the Fourth Proportional to 35,615.77, 53,435.94 and 13,435.50

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Solution

The fourth proportional to 35,615.77, 53,435.94 and 13,435.50 is: 20,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,615.77 : 53,435.94 = 13,435.50 : x
  2. Step 2: Convert to fraction form
    35,615.77/53,435.94 = 13,435.50/x
  3. Step 3: Cross multiply
    35,615.77x = 53,435.94 × 13,435.50
  4. Step 4: Simplify right side
    35,615.77x = 717,938,571.87
  5. Step 5: Solve for x
    x = 717,938,571.87/35,615.77
  6. Step 6: Final answer
    x = 20,157.88

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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.