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Finding the Fourth Proportional to 100,762.56, 151,144.38 and 30,641.67

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Solution

The fourth proportional to 100,762.56, 151,144.38 and 30,641.67 is: 45,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,762.56 : 151,144.38 = 30,641.67 : x
  2. Step 2: Convert to fraction form
    100,762.56/151,144.38 = 30,641.67/x
  3. Step 3: Cross multiply
    100,762.56x = 151,144.38 × 30,641.67
  4. Step 4: Simplify right side
    100,762.56x = 4,631,316,214.31
  5. Step 5: Solve for x
    x = 4,631,316,214.31/100,762.56
  6. Step 6: Final answer
    x = 45,962.67

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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.