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Finding the Fourth Proportional to 77,350.28, 106,762.74 and 47,525

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Solution

The fourth proportional to 77,350.28, 106,762.74 and 47,525 is: 65,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,350.28 : 106,762.74 = 47,525 : x
  2. Step 2: Convert to fraction form
    77,350.28/106,762.74 = 47,525/x
  3. Step 3: Cross multiply
    77,350.28x = 106,762.74 × 47,525
  4. Step 4: Simplify right side
    77,350.28x = 5,073,899,218.50
  5. Step 5: Solve for x
    x = 5,073,899,218.50/77,350.28
  6. Step 6: Final answer
    x = 65,596.39

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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.