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Finding the Fourth Proportional to 82,378.98, 113,683.14 and 44,653.32

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Solution

The fourth proportional to 82,378.98, 113,683.14 and 44,653.32 is: 61,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.98 : 113,683.14 = 44,653.32 : x
  2. Step 2: Convert to fraction form
    82,378.98/113,683.14 = 44,653.32/x
  3. Step 3: Cross multiply
    82,378.98x = 113,683.14 × 44,653.32
  4. Step 4: Simplify right side
    82,378.98x = 5,076,329,629.02
  5. Step 5: Solve for x
    x = 5,076,329,629.02/82,378.98
  6. Step 6: Final answer
    x = 61,621.66

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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.