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Finding the Fourth Proportional to 71,203.64, 106,699.84 and 29,032.20

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Solution

The fourth proportional to 71,203.64, 106,699.84 and 29,032.20 is: 43,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.64 : 106,699.84 = 29,032.20 : x
  2. Step 2: Convert to fraction form
    71,203.64/106,699.84 = 29,032.20/x
  3. Step 3: Cross multiply
    71,203.64x = 106,699.84 × 29,032.20
  4. Step 4: Simplify right side
    71,203.64x = 3,097,731,094.85
  5. Step 5: Solve for x
    x = 3,097,731,094.85/71,203.64
  6. Step 6: Final answer
    x = 43,505.24

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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.