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Finding the Fourth Proportional to 30,850.65, 46,275.84 and 7,477.29

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Solution

The fourth proportional to 30,850.65, 46,275.84 and 7,477.29 is: 11,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.65 : 46,275.84 = 7,477.29 : x
  2. Step 2: Convert to fraction form
    30,850.65/46,275.84 = 7,477.29/x
  3. Step 3: Cross multiply
    30,850.65x = 46,275.84 × 7,477.29
  4. Step 4: Simplify right side
    30,850.65x = 346,017,875.67
  5. Step 5: Solve for x
    x = 346,017,875.67/30,850.65
  6. Step 6: Final answer
    x = 11,215.90

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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.