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Finding the Fourth Proportional to 111,810.50, 167,681.61 and 31,855.00

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Solution

The fourth proportional to 111,810.50, 167,681.61 and 31,855.00 is: 47,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,810.50 : 167,681.61 = 31,855.00 : x
  2. Step 2: Convert to fraction form
    111,810.50/167,681.61 = 31,855.00/x
  3. Step 3: Cross multiply
    111,810.50x = 167,681.61 × 31,855.00
  4. Step 4: Simplify right side
    111,810.50x = 5,341,497,346.98
  5. Step 5: Solve for x
    x = 5,341,497,346.98/111,810.50
  6. Step 6: Final answer
    x = 47,772.77

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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.