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Finding the Fourth Proportional to 30,856.38, 46,284.57 and 7,482.81

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Solution

The fourth proportional to 30,856.38, 46,284.57 and 7,482.81 is: 11,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.38 : 46,284.57 = 7,482.81 : x
  2. Step 2: Convert to fraction form
    30,856.38/46,284.57 = 7,482.81/x
  3. Step 3: Cross multiply
    30,856.38x = 46,284.57 × 7,482.81
  4. Step 4: Simplify right side
    30,856.38x = 346,338,643.24
  5. Step 5: Solve for x
    x = 346,338,643.24/30,856.38
  6. Step 6: Final answer
    x = 11,224.22

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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.