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Finding the Fourth Proportional to 42,224.68, 63,276.54 and 21,462.76

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Solution

The fourth proportional to 42,224.68, 63,276.54 and 21,462.76 is: 32,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,224.68 : 63,276.54 = 21,462.76 : x
  2. Step 2: Convert to fraction form
    42,224.68/63,276.54 = 21,462.76/x
  3. Step 3: Cross multiply
    42,224.68x = 63,276.54 × 21,462.76
  4. Step 4: Simplify right side
    42,224.68x = 1,358,089,191.65
  5. Step 5: Solve for x
    x = 1,358,089,191.65/42,224.68
  6. Step 6: Final answer
    x = 32,163.40

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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.