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Finding the Fourth Proportional to 97,361.64, 145,990.22 and 49,957.20

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Solution

The fourth proportional to 97,361.64, 145,990.22 and 49,957.20 is: 74,908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,361.64 : 145,990.22 = 49,957.20 : x
  2. Step 2: Convert to fraction form
    97,361.64/145,990.22 = 49,957.20/x
  3. Step 3: Cross multiply
    97,361.64x = 145,990.22 × 49,957.20
  4. Step 4: Simplify right side
    97,361.64x = 7,293,262,368.80
  5. Step 5: Solve for x
    x = 7,293,262,368.80/97,361.64
  6. Step 6: Final answer
    x = 74,908.99

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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.