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Finding the Fourth Proportional to 30,763.90, 45,977.25 and 22,461.40

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Solution

The fourth proportional to 30,763.90, 45,977.25 and 22,461.40 is: 33,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.90 : 45,977.25 = 22,461.40 : x
  2. Step 2: Convert to fraction form
    30,763.90/45,977.25 = 22,461.40/x
  3. Step 3: Cross multiply
    30,763.90x = 45,977.25 × 22,461.40
  4. Step 4: Simplify right side
    30,763.90x = 1,032,713,403.15
  5. Step 5: Solve for x
    x = 1,032,713,403.15/30,763.90
  6. Step 6: Final answer
    x = 33,569.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.