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Finding the Fourth Proportional to 93,616, 140,429.76 and 27,952

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Solution

The fourth proportional to 93,616, 140,429.76 and 27,952 is: 41,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,616 : 140,429.76 = 27,952 : x
  2. Step 2: Convert to fraction form
    93,616/140,429.76 = 27,952/x
  3. Step 3: Cross multiply
    93,616x = 140,429.76 × 27,952
  4. Step 4: Simplify right side
    93,616x = 3,925,292,651.52
  5. Step 5: Solve for x
    x = 3,925,292,651.52/93,616
  6. Step 6: Final answer
    x = 41,929.72

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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.