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Finding the Fourth Proportional to 47,618.02, 71,438.93 and 33,605.40

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Solution

The fourth proportional to 47,618.02, 71,438.93 and 33,605.40 is: 50,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,618.02 : 71,438.93 = 33,605.40 : x
  2. Step 2: Convert to fraction form
    47,618.02/71,438.93 = 33,605.40/x
  3. Step 3: Cross multiply
    47,618.02x = 71,438.93 × 33,605.40
  4. Step 4: Simplify right side
    47,618.02x = 2,400,733,818.22
  5. Step 5: Solve for x
    x = 2,400,733,818.22/47,618.02
  6. Step 6: Final answer
    x = 50,416.50

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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.