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Finding the Fourth Proportional to 40,477.95, 55,853.82 and 22,570.38

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Solution

The fourth proportional to 40,477.95, 55,853.82 and 22,570.38 is: 31,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,477.95 : 55,853.82 = 22,570.38 : x
  2. Step 2: Convert to fraction form
    40,477.95/55,853.82 = 22,570.38/x
  3. Step 3: Cross multiply
    40,477.95x = 55,853.82 × 22,570.38
  4. Step 4: Simplify right side
    40,477.95x = 1,260,641,941.85
  5. Step 5: Solve for x
    x = 1,260,641,941.85/40,477.95
  6. Step 6: Final answer
    x = 31,143.92

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Why These Related Problems?

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