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Finding the Fourth Proportional to 52,189.77, 72,014.23 and 29,218.40

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Solution

The fourth proportional to 52,189.77, 72,014.23 and 29,218.40 is: 40,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,189.77 : 72,014.23 = 29,218.40 : x
  2. Step 2: Convert to fraction form
    52,189.77/72,014.23 = 29,218.40/x
  3. Step 3: Cross multiply
    52,189.77x = 72,014.23 × 29,218.40
  4. Step 4: Simplify right side
    52,189.77x = 2,104,140,431.74
  5. Step 5: Solve for x
    x = 2,104,140,431.74/52,189.77
  6. Step 6: Final answer
    x = 40,317.10

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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.