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Finding the Fourth Proportional to 30,835.24, 46,254.15 and 9,774.82

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Solution

The fourth proportional to 30,835.24, 46,254.15 and 9,774.82 is: 14,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.24 : 46,254.15 = 9,774.82 : x
  2. Step 2: Convert to fraction form
    30,835.24/46,254.15 = 9,774.82/x
  3. Step 3: Cross multiply
    30,835.24x = 46,254.15 × 9,774.82
  4. Step 4: Simplify right side
    30,835.24x = 452,125,990.50
  5. Step 5: Solve for x
    x = 452,125,990.50/30,835.24
  6. Step 6: Final answer
    x = 14,662.64

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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.