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Finding the Fourth Proportional to 93,490, 140,235.04 and 27,826

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Solution

The fourth proportional to 93,490, 140,235.04 and 27,826 is: 41,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,490 : 140,235.04 = 27,826 : x
  2. Step 2: Convert to fraction form
    93,490/140,235.04 = 27,826/x
  3. Step 3: Cross multiply
    93,490x = 140,235.04 × 27,826
  4. Step 4: Simplify right side
    93,490x = 3,902,180,223.04
  5. Step 5: Solve for x
    x = 3,902,180,223.04/93,490
  6. Step 6: Final answer
    x = 41,739.01

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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.