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Finding the Fourth Proportional to 82,782.52, 114,239.94 and 45,056.84

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Solution

The fourth proportional to 82,782.52, 114,239.94 and 45,056.84 is: 62,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782.52 : 114,239.94 = 45,056.84 : x
  2. Step 2: Convert to fraction form
    82,782.52/114,239.94 = 45,056.84/x
  3. Step 3: Cross multiply
    82,782.52x = 114,239.94 × 45,056.84
  4. Step 4: Simplify right side
    82,782.52x = 5,147,290,698.19
  5. Step 5: Solve for x
    x = 5,147,290,698.19/82,782.52
  6. Step 6: Final answer
    x = 62,178.47

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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.