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Finding the Fourth Proportional to 93,381, 140,072.74 and 31,051.52

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Solution

The fourth proportional to 93,381, 140,072.74 and 31,051.52 is: 46,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,381 : 140,072.74 = 31,051.52 : x
  2. Step 2: Convert to fraction form
    93,381/140,072.74 = 31,051.52/x
  3. Step 3: Cross multiply
    93,381x = 140,072.74 × 31,051.52
  4. Step 4: Simplify right side
    93,381x = 4,349,471,487.56
  5. Step 5: Solve for x
    x = 4,349,471,487.56/93,381
  6. Step 6: Final answer
    x = 46,577.69

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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.