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Finding the Fourth Proportional to 42,885.57, 64,350.27 and 20,421.66

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Solution

The fourth proportional to 42,885.57, 64,350.27 and 20,421.66 is: 30,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,885.57 : 64,350.27 = 20,421.66 : x
  2. Step 2: Convert to fraction form
    42,885.57/64,350.27 = 20,421.66/x
  3. Step 3: Cross multiply
    42,885.57x = 64,350.27 × 20,421.66
  4. Step 4: Simplify right side
    42,885.57x = 1,314,139,334.85
  5. Step 5: Solve for x
    x = 1,314,139,334.85/42,885.57
  6. Step 6: Final answer
    x = 30,642.93

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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.