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Finding the Fourth Proportional to 42,643.96, 58,848.93 and 23,782.30

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Solution

The fourth proportional to 42,643.96, 58,848.93 and 23,782.30 is: 32,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,643.96 : 58,848.93 = 23,782.30 : x
  2. Step 2: Convert to fraction form
    42,643.96/58,848.93 = 23,782.30/x
  3. Step 3: Cross multiply
    42,643.96x = 58,848.93 × 23,782.30
  4. Step 4: Simplify right side
    42,643.96x = 1,399,562,907.94
  5. Step 5: Solve for x
    x = 1,399,562,907.94/42,643.96
  6. Step 6: Final answer
    x = 32,819.72

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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.