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Finding the Fourth Proportional to 40,695, 61,319.80 and 33,461.50

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Solution

The fourth proportional to 40,695, 61,319.80 and 33,461.50 is: 50,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,695 : 61,319.80 = 33,461.50 : x
  2. Step 2: Convert to fraction form
    40,695/61,319.80 = 33,461.50/x
  3. Step 3: Cross multiply
    40,695x = 61,319.80 × 33,461.50
  4. Step 4: Simplify right side
    40,695x = 2,051,852,320.39
  5. Step 5: Solve for x
    x = 2,051,852,320.39/40,695
  6. Step 6: Final answer
    x = 50,420.26

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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.