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Finding the Fourth Proportional to 53,057, 79,389.18 and 32,009.24

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Solution

The fourth proportional to 53,057, 79,389.18 and 32,009.24 is: 47,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057 : 79,389.18 = 32,009.24 : x
  2. Step 2: Convert to fraction form
    53,057/79,389.18 = 32,009.24/x
  3. Step 3: Cross multiply
    53,057x = 79,389.18 × 32,009.24
  4. Step 4: Simplify right side
    53,057x = 2,541,187,316.02
  5. Step 5: Solve for x
    x = 2,541,187,316.02/53,057
  6. Step 6: Final answer
    x = 47,895.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.