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Finding the Fourth Proportional to 42,798.14, 64,153.46 and 14,709.77

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Solution

The fourth proportional to 42,798.14, 64,153.46 and 14,709.77 is: 22,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,798.14 : 64,153.46 = 14,709.77 : x
  2. Step 2: Convert to fraction form
    42,798.14/64,153.46 = 14,709.77/x
  3. Step 3: Cross multiply
    42,798.14x = 64,153.46 × 14,709.77
  4. Step 4: Simplify right side
    42,798.14x = 943,682,357.31
  5. Step 5: Solve for x
    x = 943,682,357.31/42,798.14
  6. Step 6: Final answer
    x = 22,049.61

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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.