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Finding the Fourth Proportional to 42,851.77, 64,277.66 and 14,779.87

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Solution

The fourth proportional to 42,851.77, 64,277.66 and 14,779.87 is: 22,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851.77 : 64,277.66 = 14,779.87 : x
  2. Step 2: Convert to fraction form
    42,851.77/64,277.66 = 14,779.87/x
  3. Step 3: Cross multiply
    42,851.77x = 64,277.66 × 14,779.87
  4. Step 4: Simplify right side
    42,851.77x = 950,015,334.96
  5. Step 5: Solve for x
    x = 950,015,334.96/42,851.77
  6. Step 6: Final answer
    x = 22,169.81

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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.