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Finding the Fourth Proportional to 40,770.42, 56,259.93 and 22,863

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Solution

The fourth proportional to 40,770.42, 56,259.93 and 22,863 is: 31,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,770.42 : 56,259.93 = 22,863 : x
  2. Step 2: Convert to fraction form
    40,770.42/56,259.93 = 22,863/x
  3. Step 3: Cross multiply
    40,770.42x = 56,259.93 × 22,863
  4. Step 4: Simplify right side
    40,770.42x = 1,286,270,779.59
  5. Step 5: Solve for x
    x = 1,286,270,779.59/40,770.42
  6. Step 6: Final answer
    x = 31,549.12

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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.