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Finding the Fourth Proportional to 93,407, 140,111.70 and 31,077.52

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Solution

The fourth proportional to 93,407, 140,111.70 and 31,077.52 is: 46,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,407 : 140,111.70 = 31,077.52 : x
  2. Step 2: Convert to fraction form
    93,407/140,111.70 = 31,077.52/x
  3. Step 3: Cross multiply
    93,407x = 140,111.70 × 31,077.52
  4. Step 4: Simplify right side
    93,407x = 4,354,324,158.98
  5. Step 5: Solve for x
    x = 4,354,324,158.98/93,407
  6. Step 6: Final answer
    x = 46,616.68

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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.