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Finding the Fourth Proportional to 111,735, 167,569.70 and 32,830.47

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Solution

The fourth proportional to 111,735, 167,569.70 and 32,830.47 is: 49,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,735 : 167,569.70 = 32,830.47 : x
  2. Step 2: Convert to fraction form
    111,735/167,569.70 = 32,830.47/x
  3. Step 3: Cross multiply
    111,735x = 167,569.70 × 32,830.47
  4. Step 4: Simplify right side
    111,735x = 5,501,391,844.61
  5. Step 5: Solve for x
    x = 5,501,391,844.61/111,735
  6. Step 6: Final answer
    x = 49,236.07

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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.