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Finding the Fourth Proportional to 82,816.79, 124,064.80 and 49,563.05

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Solution

The fourth proportional to 82,816.79, 124,064.80 and 49,563.05 is: 74,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816.79 : 124,064.80 = 49,563.05 : x
  2. Step 2: Convert to fraction form
    82,816.79/124,064.80 = 49,563.05/x
  3. Step 3: Cross multiply
    82,816.79x = 124,064.80 × 49,563.05
  4. Step 4: Simplify right side
    82,816.79x = 6,149,029,141.41
  5. Step 5: Solve for x
    x = 6,149,029,141.41/82,816.79
  6. Step 6: Final answer
    x = 74,248.59

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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.