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Finding the Fourth Proportional to 46,613.82, 69,862.35 and 36,714

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Solution

The fourth proportional to 46,613.82, 69,862.35 and 36,714 is: 55,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,613.82 : 69,862.35 = 36,714 : x
  2. Step 2: Convert to fraction form
    46,613.82/69,862.35 = 36,714/x
  3. Step 3: Cross multiply
    46,613.82x = 69,862.35 × 36,714
  4. Step 4: Simplify right side
    46,613.82x = 2,564,926,317.90
  5. Step 5: Solve for x
    x = 2,564,926,317.90/46,613.82
  6. Step 6: Final answer
    x = 55,025.02

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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.