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Finding the Fourth Proportional to 97,093.92, 145,599.68 and 40,959.20

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Solution

The fourth proportional to 97,093.92, 145,599.68 and 40,959.20 is: 61,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.92 : 145,599.68 = 40,959.20 : x
  2. Step 2: Convert to fraction form
    97,093.92/145,599.68 = 40,959.20/x
  3. Step 3: Cross multiply
    97,093.92x = 145,599.68 × 40,959.20
  4. Step 4: Simplify right side
    97,093.92x = 5,963,646,413.06
  5. Step 5: Solve for x
    x = 5,963,646,413.06/97,093.92
  6. Step 6: Final answer
    x = 61,421.42

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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.