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Finding the Fourth Proportional to 109,149.16, 163,801.50 and 46,837.48

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Solution

The fourth proportional to 109,149.16, 163,801.50 and 46,837.48 is: 70,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,149.16 : 163,801.50 = 46,837.48 : x
  2. Step 2: Convert to fraction form
    109,149.16/163,801.50 = 46,837.48/x
  3. Step 3: Cross multiply
    109,149.16x = 163,801.50 × 46,837.48
  4. Step 4: Simplify right side
    109,149.16x = 7,672,049,480.22
  5. Step 5: Solve for x
    x = 7,672,049,480.22/109,149.16
  6. Step 6: Final answer
    x = 70,289.59

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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.