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Finding the Fourth Proportional to 35,740.98, 53,617.41 and 12,361.95

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Solution

The fourth proportional to 35,740.98, 53,617.41 and 12,361.95 is: 18,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.98 : 53,617.41 = 12,361.95 : x
  2. Step 2: Convert to fraction form
    35,740.98/53,617.41 = 12,361.95/x
  3. Step 3: Cross multiply
    35,740.98x = 53,617.41 × 12,361.95
  4. Step 4: Simplify right side
    35,740.98x = 662,815,741.55
  5. Step 5: Solve for x
    x = 662,815,741.55/35,740.98
  6. Step 6: Final answer
    x = 18,544.98

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Why These Related Problems?

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