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Finding the Fourth Proportional to 40,698.50, 61,325.08 and 33,465

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Solution

The fourth proportional to 40,698.50, 61,325.08 and 33,465 is: 50,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698.50 : 61,325.08 = 33,465 : x
  2. Step 2: Convert to fraction form
    40,698.50/61,325.08 = 33,465/x
  3. Step 3: Cross multiply
    40,698.50x = 61,325.08 × 33,465
  4. Step 4: Simplify right side
    40,698.50x = 2,052,243,802.20
  5. Step 5: Solve for x
    x = 2,052,243,802.20/40,698.50
  6. Step 6: Final answer
    x = 50,425.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.