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Finding the Fourth Proportional to 35,814.34, 49,420.90 and 20,707.98

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Solution

The fourth proportional to 35,814.34, 49,420.90 and 20,707.98 is: 28,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.34 : 49,420.90 = 20,707.98 : x
  2. Step 2: Convert to fraction form
    35,814.34/49,420.90 = 20,707.98/x
  3. Step 3: Cross multiply
    35,814.34x = 49,420.90 × 20,707.98
  4. Step 4: Simplify right side
    35,814.34x = 1,023,407,008.78
  5. Step 5: Solve for x
    x = 1,023,407,008.78/35,814.34
  6. Step 6: Final answer
    x = 28,575.34

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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.