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Finding the Fourth Proportional to 42,323.14, 58,406.25 and 23,460.25

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Solution

The fourth proportional to 42,323.14, 58,406.25 and 23,460.25 is: 32,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,323.14 : 58,406.25 = 23,460.25 : x
  2. Step 2: Convert to fraction form
    42,323.14/58,406.25 = 23,460.25/x
  3. Step 3: Cross multiply
    42,323.14x = 58,406.25 × 23,460.25
  4. Step 4: Simplify right side
    42,323.14x = 1,370,225,226.56
  5. Step 5: Solve for x
    x = 1,370,225,226.56/42,323.14
  6. Step 6: Final answer
    x = 32,375.32

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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.