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Finding the Fourth Proportional to 46,953.67, 70,453.29 and 20,655

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Solution

The fourth proportional to 46,953.67, 70,453.29 and 20,655 is: 30,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,953.67 : 70,453.29 = 20,655 : x
  2. Step 2: Convert to fraction form
    46,953.67/70,453.29 = 20,655/x
  3. Step 3: Cross multiply
    46,953.67x = 70,453.29 × 20,655
  4. Step 4: Simplify right side
    46,953.67x = 1,455,212,704.95
  5. Step 5: Solve for x
    x = 1,455,212,704.95/46,953.67
  6. Step 6: Final answer
    x = 30,992.52

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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.