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Finding the Fourth Proportional to 30,580.30, 45,862.65 and 9,516.22

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Solution

The fourth proportional to 30,580.30, 45,862.65 and 9,516.22 is: 14,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.30 : 45,862.65 = 9,516.22 : x
  2. Step 2: Convert to fraction form
    30,580.30/45,862.65 = 9,516.22/x
  3. Step 3: Cross multiply
    30,580.30x = 45,862.65 × 9,516.22
  4. Step 4: Simplify right side
    30,580.30x = 436,439,067.18
  5. Step 5: Solve for x
    x = 436,439,067.18/30,580.30
  6. Step 6: Final answer
    x = 14,271.90

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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.