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Finding the Fourth Proportional to 93,693.60, 140,531.76 and 31,364.64

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Solution

The fourth proportional to 93,693.60, 140,531.76 and 31,364.64 is: 47,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,693.60 : 140,531.76 = 31,364.64 : x
  2. Step 2: Convert to fraction form
    93,693.60/140,531.76 = 31,364.64/x
  3. Step 3: Cross multiply
    93,693.60x = 140,531.76 × 31,364.64
  4. Step 4: Simplify right side
    93,693.60x = 4,407,728,060.97
  5. Step 5: Solve for x
    x = 4,407,728,060.97/93,693.60
  6. Step 6: Final answer
    x = 47,044.07

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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.