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Finding the Fourth Proportional to 30,824, 42,624.60 and 29,431.61

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Solution

The fourth proportional to 30,824, 42,624.60 and 29,431.61 is: 40,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824 : 42,624.60 = 29,431.61 : x
  2. Step 2: Convert to fraction form
    30,824/42,624.60 = 29,431.61/x
  3. Step 3: Cross multiply
    30,824x = 42,624.60 × 29,431.61
  4. Step 4: Simplify right side
    30,824x = 1,254,510,603.61
  5. Step 5: Solve for x
    x = 1,254,510,603.61/30,824
  6. Step 6: Final answer
    x = 40,699.15

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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.