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Finding the Fourth Proportional to 46,224.95, 69,337.22 and 11,164.50

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Solution

The fourth proportional to 46,224.95, 69,337.22 and 11,164.50 is: 16,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,224.95 : 69,337.22 = 11,164.50 : x
  2. Step 2: Convert to fraction form
    46,224.95/69,337.22 = 11,164.50/x
  3. Step 3: Cross multiply
    46,224.95x = 69,337.22 × 11,164.50
  4. Step 4: Simplify right side
    46,224.95x = 774,115,336.87
  5. Step 5: Solve for x
    x = 774,115,336.87/46,224.95
  6. Step 6: Final answer
    x = 16,746.70

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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.