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Finding the Fourth Proportional to 30,858.57, 46,278.54 and 9,797.76

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Solution

The fourth proportional to 30,858.57, 46,278.54 and 9,797.76 is: 14,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.57 : 46,278.54 = 9,797.76 : x
  2. Step 2: Convert to fraction form
    30,858.57/46,278.54 = 9,797.76/x
  3. Step 3: Cross multiply
    30,858.57x = 46,278.54 × 9,797.76
  4. Step 4: Simplify right side
    30,858.57x = 453,426,028.07
  5. Step 5: Solve for x
    x = 453,426,028.07/30,858.57
  6. Step 6: Final answer
    x = 14,693.68

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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.