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Finding the Fourth Proportional to 93,743.80, 140,615.70 and 31,414.30

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Solution

The fourth proportional to 93,743.80, 140,615.70 and 31,414.30 is: 47,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,743.80 : 140,615.70 = 31,414.30 : x
  2. Step 2: Convert to fraction form
    93,743.80/140,615.70 = 31,414.30/x
  3. Step 3: Cross multiply
    93,743.80x = 140,615.70 × 31,414.30
  4. Step 4: Simplify right side
    93,743.80x = 4,417,343,784.51
  5. Step 5: Solve for x
    x = 4,417,343,784.51/93,743.80
  6. Step 6: Final answer
    x = 47,121.45

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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.