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Finding the Fourth Proportional to 72,858.42, 109,291.95 and 22,940.10

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Solution

The fourth proportional to 72,858.42, 109,291.95 and 22,940.10 is: 34,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,858.42 : 109,291.95 = 22,940.10 : x
  2. Step 2: Convert to fraction form
    72,858.42/109,291.95 = 22,940.10/x
  3. Step 3: Cross multiply
    72,858.42x = 109,291.95 × 22,940.10
  4. Step 4: Simplify right side
    72,858.42x = 2,507,168,262.20
  5. Step 5: Solve for x
    x = 2,507,168,262.20/72,858.42
  6. Step 6: Final answer
    x = 34,411.51

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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.