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Finding the Fourth Proportional to 47,050.34, 70,538.60 and 23,341.21

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Solution

The fourth proportional to 47,050.34, 70,538.60 and 23,341.21 is: 34,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050.34 : 70,538.60 = 23,341.21 : x
  2. Step 2: Convert to fraction form
    47,050.34/70,538.60 = 23,341.21/x
  3. Step 3: Cross multiply
    47,050.34x = 70,538.60 × 23,341.21
  4. Step 4: Simplify right side
    47,050.34x = 1,646,456,224.08
  5. Step 5: Solve for x
    x = 1,646,456,224.08/47,050.34
  6. Step 6: Final answer
    x = 34,993.50

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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.