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Finding the Fourth Proportional to 52,102.63, 71,904.42 and 29,442.58

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Solution

The fourth proportional to 52,102.63, 71,904.42 and 29,442.58 is: 40,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.63 : 71,904.42 = 29,442.58 : x
  2. Step 2: Convert to fraction form
    52,102.63/71,904.42 = 29,442.58/x
  3. Step 3: Cross multiply
    52,102.63x = 71,904.42 × 29,442.58
  4. Step 4: Simplify right side
    52,102.63x = 2,117,051,638.20
  5. Step 5: Solve for x
    x = 2,117,051,638.20/52,102.63
  6. Step 6: Final answer
    x = 40,632.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.