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Finding the Fourth Proportional to 30,910.20, 46,368.93 and 9,842.87

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Solution

The fourth proportional to 30,910.20, 46,368.93 and 9,842.87 is: 14,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.20 : 46,368.93 = 9,842.87 : x
  2. Step 2: Convert to fraction form
    30,910.20/46,368.93 = 9,842.87/x
  3. Step 3: Cross multiply
    30,910.20x = 46,368.93 × 9,842.87
  4. Step 4: Simplify right side
    30,910.20x = 456,403,118.18
  5. Step 5: Solve for x
    x = 456,403,118.18/30,910.20
  6. Step 6: Final answer
    x = 14,765.45

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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.