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Finding the Fourth Proportional to 30,858.66, 46,289.60 and 9,800.38

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Solution

The fourth proportional to 30,858.66, 46,289.60 and 9,800.38 is: 14,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.66 : 46,289.60 = 9,800.38 : x
  2. Step 2: Convert to fraction form
    30,858.66/46,289.60 = 9,800.38/x
  3. Step 3: Cross multiply
    30,858.66x = 46,289.60 × 9,800.38
  4. Step 4: Simplify right side
    30,858.66x = 453,655,670.05
  5. Step 5: Solve for x
    x = 453,655,670.05/30,858.66
  6. Step 6: Final answer
    x = 14,701.08

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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.