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Finding the Fourth Proportional to 30,856.41, 46,284.75 and 7,482.84

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Solution

The fourth proportional to 30,856.41, 46,284.75 and 7,482.84 is: 11,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.41 : 46,284.75 = 7,482.84 : x
  2. Step 2: Convert to fraction form
    30,856.41/46,284.75 = 7,482.84/x
  3. Step 3: Cross multiply
    30,856.41x = 46,284.75 × 7,482.84
  4. Step 4: Simplify right side
    30,856.41x = 346,341,378.69
  5. Step 5: Solve for x
    x = 346,341,378.69/30,856.41
  6. Step 6: Final answer
    x = 11,224.29

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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.