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Finding the Fourth Proportional to 42,323.42, 58,403.09 and 23,200.13

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Solution

The fourth proportional to 42,323.42, 58,403.09 and 23,200.13 is: 32,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,323.42 : 58,403.09 = 23,200.13 : x
  2. Step 2: Convert to fraction form
    42,323.42/58,403.09 = 23,200.13/x
  3. Step 3: Cross multiply
    42,323.42x = 58,403.09 × 23,200.13
  4. Step 4: Simplify right side
    42,323.42x = 1,354,958,872.39
  5. Step 5: Solve for x
    x = 1,354,958,872.39/42,323.42
  6. Step 6: Final answer
    x = 32,014.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.