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Finding the Fourth Proportional to 97,361.53, 146,068.17 and 30,802.84

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Solution

The fourth proportional to 97,361.53, 146,068.17 and 30,802.84 is: 46,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,361.53 : 146,068.17 = 30,802.84 : x
  2. Step 2: Convert to fraction form
    97,361.53/146,068.17 = 30,802.84/x
  3. Step 3: Cross multiply
    97,361.53x = 146,068.17 × 30,802.84
  4. Step 4: Simplify right side
    97,361.53x = 4,499,314,469.60
  5. Step 5: Solve for x
    x = 4,499,314,469.60/97,361.53
  6. Step 6: Final answer
    x = 46,212.45

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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.