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Finding the Fourth Proportional to 93,805.60, 140,709.84 and 31,476.64

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Solution

The fourth proportional to 93,805.60, 140,709.84 and 31,476.64 is: 47,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,805.60 : 140,709.84 = 31,476.64 : x
  2. Step 2: Convert to fraction form
    93,805.60/140,709.84 = 31,476.64/x
  3. Step 3: Cross multiply
    93,805.60x = 140,709.84 × 31,476.64
  4. Step 4: Simplify right side
    93,805.60x = 4,429,072,978.14
  5. Step 5: Solve for x
    x = 4,429,072,978.14/93,805.60
  6. Step 6: Final answer
    x = 47,215.44

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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.