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Finding the Fourth Proportional to 117,301.64, 175,938.60 and 33,068.12

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Solution

The fourth proportional to 117,301.64, 175,938.60 and 33,068.12 is: 49,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,301.64 : 175,938.60 = 33,068.12 : x
  2. Step 2: Convert to fraction form
    117,301.64/175,938.60 = 33,068.12/x
  3. Step 3: Cross multiply
    117,301.64x = 175,938.60 × 33,068.12
  4. Step 4: Simplify right side
    117,301.64x = 5,817,958,737.43
  5. Step 5: Solve for x
    x = 5,817,958,737.43/117,301.64
  6. Step 6: Final answer
    x = 49,598.27

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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.