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Finding the Fourth Proportional to 93,902.58, 140,859 and 23,782.50

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Solution

The fourth proportional to 93,902.58, 140,859 and 23,782.50 is: 35,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,902.58 : 140,859 = 23,782.50 : x
  2. Step 2: Convert to fraction form
    93,902.58/140,859 = 23,782.50/x
  3. Step 3: Cross multiply
    93,902.58x = 140,859 × 23,782.50
  4. Step 4: Simplify right side
    93,902.58x = 3,349,979,167.50
  5. Step 5: Solve for x
    x = 3,349,979,167.50/93,902.58
  6. Step 6: Final answer
    x = 35,675.05

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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.