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Finding the Fourth Proportional to 106,688.23, 160,040.51 and 31,802.65

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Solution

The fourth proportional to 106,688.23, 160,040.51 and 31,802.65 is: 47,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,688.23 : 160,040.51 = 31,802.65 : x
  2. Step 2: Convert to fraction form
    106,688.23/160,040.51 = 31,802.65/x
  3. Step 3: Cross multiply
    106,688.23x = 160,040.51 × 31,802.65
  4. Step 4: Simplify right side
    106,688.23x = 5,089,711,885.50
  5. Step 5: Solve for x
    x = 5,089,711,885.50/106,688.23
  6. Step 6: Final answer
    x = 47,706.41

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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.