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Finding the Fourth Proportional to 47,206.63, 70,809.81 and 32,370.54

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Solution

The fourth proportional to 47,206.63, 70,809.81 and 32,370.54 is: 48,555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,206.63 : 70,809.81 = 32,370.54 : x
  2. Step 2: Convert to fraction form
    47,206.63/70,809.81 = 32,370.54/x
  3. Step 3: Cross multiply
    47,206.63x = 70,809.81 × 32,370.54
  4. Step 4: Simplify right side
    47,206.63x = 2,292,151,787.00
  5. Step 5: Solve for x
    x = 2,292,151,787.00/47,206.63
  6. Step 6: Final answer
    x = 48,555.72

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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.