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Finding the Fourth Proportional to 82,378.76, 113,682.58 and 44,653

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Solution

The fourth proportional to 82,378.76, 113,682.58 and 44,653 is: 61,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.76 : 113,682.58 = 44,653 : x
  2. Step 2: Convert to fraction form
    82,378.76/113,682.58 = 44,653/x
  3. Step 3: Cross multiply
    82,378.76x = 113,682.58 × 44,653
  4. Step 4: Simplify right side
    82,378.76x = 5,076,268,244.74
  5. Step 5: Solve for x
    x = 5,076,268,244.74/82,378.76
  6. Step 6: Final answer
    x = 61,621.08

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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.