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Finding the Fourth Proportional to 46,953, 70,432.07 and 11,892.96

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Solution

The fourth proportional to 46,953, 70,432.07 and 11,892.96 is: 17,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,953 : 70,432.07 = 11,892.96 : x
  2. Step 2: Convert to fraction form
    46,953/70,432.07 = 11,892.96/x
  3. Step 3: Cross multiply
    46,953x = 70,432.07 × 11,892.96
  4. Step 4: Simplify right side
    46,953x = 837,645,791.23
  5. Step 5: Solve for x
    x = 837,645,791.23/46,953
  6. Step 6: Final answer
    x = 17,840.09

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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.