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Finding the Fourth Proportional to 82,508.68, 113,862 and 44,782.94

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Solution

The fourth proportional to 82,508.68, 113,862 and 44,782.94 is: 61,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508.68 : 113,862 = 44,782.94 : x
  2. Step 2: Convert to fraction form
    82,508.68/113,862 = 44,782.94/x
  3. Step 3: Cross multiply
    82,508.68x = 113,862 × 44,782.94
  4. Step 4: Simplify right side
    82,508.68x = 5,099,075,114.28
  5. Step 5: Solve for x
    x = 5,099,075,114.28/82,508.68
  6. Step 6: Final answer
    x = 61,800.47

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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.