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Finding the Fourth Proportional to 97,794.90, 134,957.40 and 55,361.64

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Solution

The fourth proportional to 97,794.90, 134,957.40 and 55,361.64 is: 76,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794.90 : 134,957.40 = 55,361.64 : x
  2. Step 2: Convert to fraction form
    97,794.90/134,957.40 = 55,361.64/x
  3. Step 3: Cross multiply
    97,794.90x = 134,957.40 × 55,361.64
  4. Step 4: Simplify right side
    97,794.90x = 7,471,462,994.14
  5. Step 5: Solve for x
    x = 7,471,462,994.14/97,794.90
  6. Step 6: Final answer
    x = 76,399.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.