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Finding the Fourth Proportional to 30,862, 42,577.82 and 22,814.98

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Solution

The fourth proportional to 30,862, 42,577.82 and 22,814.98 is: 31,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862 : 42,577.82 = 22,814.98 : x
  2. Step 2: Convert to fraction form
    30,862/42,577.82 = 22,814.98/x
  3. Step 3: Cross multiply
    30,862x = 42,577.82 × 22,814.98
  4. Step 4: Simplify right side
    30,862x = 971,411,784.78
  5. Step 5: Solve for x
    x = 971,411,784.78/30,862
  6. Step 6: Final answer
    x = 31,475.98

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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.