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Finding the Fourth Proportional to 30,923.49, 46,388.88 and 9,856.20

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Solution

The fourth proportional to 30,923.49, 46,388.88 and 9,856.20 is: 14,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.49 : 46,388.88 = 9,856.20 : x
  2. Step 2: Convert to fraction form
    30,923.49/46,388.88 = 9,856.20/x
  3. Step 3: Cross multiply
    30,923.49x = 46,388.88 × 9,856.20
  4. Step 4: Simplify right side
    30,923.49x = 457,218,079.06
  5. Step 5: Solve for x
    x = 457,218,079.06/30,923.49
  6. Step 6: Final answer
    x = 14,785.46

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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.