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Finding the Fourth Proportional to 40,267.86, 55,570.64 and 22,362

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Solution

The fourth proportional to 40,267.86, 55,570.64 and 22,362 is: 30,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,267.86 : 55,570.64 = 22,362 : x
  2. Step 2: Convert to fraction form
    40,267.86/55,570.64 = 22,362/x
  3. Step 3: Cross multiply
    40,267.86x = 55,570.64 × 22,362
  4. Step 4: Simplify right side
    40,267.86x = 1,242,670,539.87
  5. Step 5: Solve for x
    x = 1,242,670,539.87/40,267.86
  6. Step 6: Final answer
    x = 30,860.11

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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.