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Finding the Fourth Proportional to 30,928.98, 46,370.75 and 9,856.90

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Solution

The fourth proportional to 30,928.98, 46,370.75 and 9,856.90 is: 14,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.98 : 46,370.75 = 9,856.90 : x
  2. Step 2: Convert to fraction form
    30,928.98/46,370.75 = 9,856.90/x
  3. Step 3: Cross multiply
    30,928.98x = 46,370.75 × 9,856.90
  4. Step 4: Simplify right side
    30,928.98x = 457,071,613.82
  5. Step 5: Solve for x
    x = 457,071,613.82/30,928.98
  6. Step 6: Final answer
    x = 14,778.10

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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.