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Finding the Fourth Proportional to 46,704.12, 64,428.30 and 27,827.88

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Solution

The fourth proportional to 46,704.12, 64,428.30 and 27,827.88 is: 38,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704.12 : 64,428.30 = 27,827.88 : x
  2. Step 2: Convert to fraction form
    46,704.12/64,428.30 = 27,827.88/x
  3. Step 3: Cross multiply
    46,704.12x = 64,428.30 × 27,827.88
  4. Step 4: Simplify right side
    46,704.12x = 1,792,903,001.00
  5. Step 5: Solve for x
    x = 1,792,903,001.00/46,704.12
  6. Step 6: Final answer
    x = 38,388.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.