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Finding the Fourth Proportional to 58,315.62, 80,461.26 and 32,817

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Solution

The fourth proportional to 58,315.62, 80,461.26 and 32,817 is: 45,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,315.62 : 80,461.26 = 32,817 : x
  2. Step 2: Convert to fraction form
    58,315.62/80,461.26 = 32,817/x
  3. Step 3: Cross multiply
    58,315.62x = 80,461.26 × 32,817
  4. Step 4: Simplify right side
    58,315.62x = 2,640,497,169.42
  5. Step 5: Solve for x
    x = 2,640,497,169.42/58,315.62
  6. Step 6: Final answer
    x = 45,279.42

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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.