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Finding the Fourth Proportional to 97,523.36, 146,285 and 34,328.60

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Solution

The fourth proportional to 97,523.36, 146,285 and 34,328.60 is: 51,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,523.36 : 146,285 = 34,328.60 : x
  2. Step 2: Convert to fraction form
    97,523.36/146,285 = 34,328.60/x
  3. Step 3: Cross multiply
    97,523.36x = 146,285 × 34,328.60
  4. Step 4: Simplify right side
    97,523.36x = 5,021,759,251
  5. Step 5: Solve for x
    x = 5,021,759,251/97,523.36
  6. Step 6: Final answer
    x = 51,492.89

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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.