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Finding the Fourth Proportional to 97,453.60, 146,092.08 and 35,080

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Solution

The fourth proportional to 97,453.60, 146,092.08 and 35,080 is: 52,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,453.60 : 146,092.08 = 35,080 : x
  2. Step 2: Convert to fraction form
    97,453.60/146,092.08 = 35,080/x
  3. Step 3: Cross multiply
    97,453.60x = 146,092.08 × 35,080
  4. Step 4: Simplify right side
    97,453.60x = 5,124,910,166.40
  5. Step 5: Solve for x
    x = 5,124,910,166.40/97,453.60
  6. Step 6: Final answer
    x = 52,588.21

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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.