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Finding the Fourth Proportional to 93,407.63, 140,112.66 and 31,078.13

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Solution

The fourth proportional to 93,407.63, 140,112.66 and 31,078.13 is: 46,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,407.63 : 140,112.66 = 31,078.13 : x
  2. Step 2: Convert to fraction form
    93,407.63/140,112.66 = 31,078.13/x
  3. Step 3: Cross multiply
    93,407.63x = 140,112.66 × 31,078.13
  4. Step 4: Simplify right side
    93,407.63x = 4,354,439,462.13
  5. Step 5: Solve for x
    x = 4,354,439,462.13/93,407.63
  6. Step 6: Final answer
    x = 46,617.60

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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.