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Finding the Fourth Proportional to 97,014.43, 145,552.02 and 61,696

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Solution

The fourth proportional to 97,014.43, 145,552.02 and 61,696 is: 92,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,014.43 : 145,552.02 = 61,696 : x
  2. Step 2: Convert to fraction form
    97,014.43/145,552.02 = 61,696/x
  3. Step 3: Cross multiply
    97,014.43x = 145,552.02 × 61,696
  4. Step 4: Simplify right side
    97,014.43x = 8,979,977,425.92
  5. Step 5: Solve for x
    x = 8,979,977,425.92/97,014.43
  6. Step 6: Final answer
    x = 92,563.32

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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.