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Finding the Fourth Proportional to 35,897.48, 49,543.16 and 20,589.99

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Solution

The fourth proportional to 35,897.48, 49,543.16 and 20,589.99 is: 28,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.48 : 49,543.16 = 20,589.99 : x
  2. Step 2: Convert to fraction form
    35,897.48/49,543.16 = 20,589.99/x
  3. Step 3: Cross multiply
    35,897.48x = 49,543.16 × 20,589.99
  4. Step 4: Simplify right side
    35,897.48x = 1,020,093,066.02
  5. Step 5: Solve for x
    x = 1,020,093,066.02/35,897.48
  6. Step 6: Final answer
    x = 28,416.85

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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.