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Finding the Fourth Proportional to 93,878.73, 140,805.14 and 31,541.13

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Solution

The fourth proportional to 93,878.73, 140,805.14 and 31,541.13 is: 47,307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,878.73 : 140,805.14 = 31,541.13 : x
  2. Step 2: Convert to fraction form
    93,878.73/140,805.14 = 31,541.13/x
  3. Step 3: Cross multiply
    93,878.73x = 140,805.14 × 31,541.13
  4. Step 4: Simplify right side
    93,878.73x = 4,441,153,067.70
  5. Step 5: Solve for x
    x = 4,441,153,067.70/93,878.73
  6. Step 6: Final answer
    x = 47,307.34

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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.