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Finding the Fourth Proportional to 46,189.34, 69,274.02 and 14,601.86

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Solution

The fourth proportional to 46,189.34, 69,274.02 and 14,601.86 is: 21,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,189.34 : 69,274.02 = 14,601.86 : x
  2. Step 2: Convert to fraction form
    46,189.34/69,274.02 = 14,601.86/x
  3. Step 3: Cross multiply
    46,189.34x = 69,274.02 × 14,601.86
  4. Step 4: Simplify right side
    46,189.34x = 1,011,529,541.68
  5. Step 5: Solve for x
    x = 1,011,529,541.68/46,189.34
  6. Step 6: Final answer
    x = 21,899.63

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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.