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Finding the Fourth Proportional to 135,085.68, 202,613.16 and 36,582

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Solution

The fourth proportional to 135,085.68, 202,613.16 and 36,582 is: 54,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,085.68 : 202,613.16 = 36,582 : x
  2. Step 2: Convert to fraction form
    135,085.68/202,613.16 = 36,582/x
  3. Step 3: Cross multiply
    135,085.68x = 202,613.16 × 36,582
  4. Step 4: Simplify right side
    135,085.68x = 7,411,994,619.12
  5. Step 5: Solve for x
    x = 7,411,994,619.12/135,085.68
  6. Step 6: Final answer
    x = 54,868.84

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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.