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Finding the Fourth Proportional to 109,537, 164,289.02 and 30,641

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Solution

The fourth proportional to 109,537, 164,289.02 and 30,641 is: 45,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,537 : 164,289.02 = 30,641 : x
  2. Step 2: Convert to fraction form
    109,537/164,289.02 = 30,641/x
  3. Step 3: Cross multiply
    109,537x = 164,289.02 × 30,641
  4. Step 4: Simplify right side
    109,537x = 5,033,979,861.82
  5. Step 5: Solve for x
    x = 5,033,979,861.82/109,537
  6. Step 6: Final answer
    x = 45,956.89

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