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Finding the Fourth Proportional to 83,563.50, 115,323.80 and 47,752.74

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Solution

The fourth proportional to 83,563.50, 115,323.80 and 47,752.74 is: 65,902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,563.50 : 115,323.80 = 47,752.74 : x
  2. Step 2: Convert to fraction form
    83,563.50/115,323.80 = 47,752.74/x
  3. Step 3: Cross multiply
    83,563.50x = 115,323.80 × 47,752.74
  4. Step 4: Simplify right side
    83,563.50x = 5,507,027,467.06
  5. Step 5: Solve for x
    x = 5,507,027,467.06/83,563.50
  6. Step 6: Final answer
    x = 65,902.31

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1.5x scale

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.