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Finding the Fourth Proportional to 30,518.87, 45,779.49 and 9,461.07

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Solution

The fourth proportional to 30,518.87, 45,779.49 and 9,461.07 is: 14,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,518.87 : 45,779.49 = 9,461.07 : x
  2. Step 2: Convert to fraction form
    30,518.87/45,779.49 = 9,461.07/x
  3. Step 3: Cross multiply
    30,518.87x = 45,779.49 × 9,461.07
  4. Step 4: Simplify right side
    30,518.87x = 433,122,959.45
  5. Step 5: Solve for x
    x = 433,122,959.45/30,518.87
  6. Step 6: Final answer
    x = 14,191.97

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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.