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Finding the Fourth Proportional to 30,856.29, 46,284.44 and 7,482.72

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Solution

The fourth proportional to 30,856.29, 46,284.44 and 7,482.72 is: 11,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.29 : 46,284.44 = 7,482.72 : x
  2. Step 2: Convert to fraction form
    30,856.29/46,284.44 = 7,482.72/x
  3. Step 3: Cross multiply
    30,856.29x = 46,284.44 × 7,482.72
  4. Step 4: Simplify right side
    30,856.29x = 346,333,467.46
  5. Step 5: Solve for x
    x = 346,333,467.46/30,856.29
  6. Step 6: Final answer
    x = 11,224.08

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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.