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Finding the Fourth Proportional to 30,859.10, 46,288.66 and 7,485.54

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Solution

The fourth proportional to 30,859.10, 46,288.66 and 7,485.54 is: 11,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.10 : 46,288.66 = 7,485.54 : x
  2. Step 2: Convert to fraction form
    30,859.10/46,288.66 = 7,485.54/x
  3. Step 3: Cross multiply
    30,859.10x = 46,288.66 × 7,485.54
  4. Step 4: Simplify right side
    30,859.10x = 346,495,615.98
  5. Step 5: Solve for x
    x = 346,495,615.98/30,859.10
  6. Step 6: Final answer
    x = 11,228.31

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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.