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Finding the Fourth Proportional to 30,699.21, 42,262.53 and 29,288.58

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Solution

The fourth proportional to 30,699.21, 42,262.53 and 29,288.58 is: 40,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699.21 : 42,262.53 = 29,288.58 : x
  2. Step 2: Convert to fraction form
    30,699.21/42,262.53 = 29,288.58/x
  3. Step 3: Cross multiply
    30,699.21x = 42,262.53 × 29,288.58
  4. Step 4: Simplify right side
    30,699.21x = 1,237,809,490.91
  5. Step 5: Solve for x
    x = 1,237,809,490.91/30,699.21
  6. Step 6: Final answer
    x = 40,320.56

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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.