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Finding the Fourth Proportional to 47,245.40, 65,203.30 and 35,288

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Solution

The fourth proportional to 47,245.40, 65,203.30 and 35,288 is: 48,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,245.40 : 65,203.30 = 35,288 : x
  2. Step 2: Convert to fraction form
    47,245.40/65,203.30 = 35,288/x
  3. Step 3: Cross multiply
    47,245.40x = 65,203.30 × 35,288
  4. Step 4: Simplify right side
    47,245.40x = 2,300,894,050.40
  5. Step 5: Solve for x
    x = 2,300,894,050.40/47,245.40
  6. Step 6: Final answer
    x = 48,700.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.