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Finding the Fourth Proportional to 82,690.40, 114,113.12 and 44,964.48

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Solution

The fourth proportional to 82,690.40, 114,113.12 and 44,964.48 is: 62,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,690.40 : 114,113.12 = 44,964.48 : x
  2. Step 2: Convert to fraction form
    82,690.40/114,113.12 = 44,964.48/x
  3. Step 3: Cross multiply
    82,690.40x = 114,113.12 × 44,964.48
  4. Step 4: Simplify right side
    82,690.40x = 5,131,037,101.98
  5. Step 5: Solve for x
    x = 5,131,037,101.98/82,690.40
  6. Step 6: Final answer
    x = 62,051.18

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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.