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Finding the Fourth Proportional to 30,878.40, 46,252.80 and 24,273.12

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Solution

The fourth proportional to 30,878.40, 46,252.80 and 24,273.12 is: 36,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.40 : 46,252.80 = 24,273.12 : x
  2. Step 2: Convert to fraction form
    30,878.40/46,252.80 = 24,273.12/x
  3. Step 3: Cross multiply
    30,878.40x = 46,252.80 × 24,273.12
  4. Step 4: Simplify right side
    30,878.40x = 1,122,699,764.74
  5. Step 5: Solve for x
    x = 1,122,699,764.74/30,878.40
  6. Step 6: Final answer
    x = 36,358.74

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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.