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Finding the Fourth Proportional to 30,577.70, 45,866.55 and 29,411.30

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Solution

The fourth proportional to 30,577.70, 45,866.55 and 29,411.30 is: 44,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.70 : 45,866.55 = 29,411.30 : x
  2. Step 2: Convert to fraction form
    30,577.70/45,866.55 = 29,411.30/x
  3. Step 3: Cross multiply
    30,577.70x = 45,866.55 × 29,411.30
  4. Step 4: Simplify right side
    30,577.70x = 1,348,994,862.02
  5. Step 5: Solve for x
    x = 1,348,994,862.02/30,577.70
  6. Step 6: Final answer
    x = 44,116.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.