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Finding the Fourth Proportional to 81,762.40, 122,643.60 and 53,768.80

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Solution

The fourth proportional to 81,762.40, 122,643.60 and 53,768.80 is: 80,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762.40 : 122,643.60 = 53,768.80 : x
  2. Step 2: Convert to fraction form
    81,762.40/122,643.60 = 53,768.80/x
  3. Step 3: Cross multiply
    81,762.40x = 122,643.60 × 53,768.80
  4. Step 4: Simplify right side
    81,762.40x = 6,594,399,199.68
  5. Step 5: Solve for x
    x = 6,594,399,199.68/81,762.40
  6. Step 6: Final answer
    x = 80,653.20

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1.5x scale

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.