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Finding the Fourth Proportional to 110,089.46, 165,133.90 and 31,204.38

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Solution

The fourth proportional to 110,089.46, 165,133.90 and 31,204.38 is: 46,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,089.46 : 165,133.90 = 31,204.38 : x
  2. Step 2: Convert to fraction form
    110,089.46/165,133.90 = 31,204.38/x
  3. Step 3: Cross multiply
    110,089.46x = 165,133.90 × 31,204.38
  4. Step 4: Simplify right side
    110,089.46x = 5,152,900,966.48
  5. Step 5: Solve for x
    x = 5,152,900,966.48/110,089.46
  6. Step 6: Final answer
    x = 46,806.49

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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.