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Finding the Fourth Proportional to 52,633, 72,633.54 and 30,277

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Solution

The fourth proportional to 52,633, 72,633.54 and 30,277 is: 41,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,633 : 72,633.54 = 30,277 : x
  2. Step 2: Convert to fraction form
    52,633/72,633.54 = 30,277/x
  3. Step 3: Cross multiply
    52,633x = 72,633.54 × 30,277
  4. Step 4: Simplify right side
    52,633x = 2,199,125,690.58
  5. Step 5: Solve for x
    x = 2,199,125,690.58/52,633
  6. Step 6: Final answer
    x = 41,782.26

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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.