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Finding the Fourth Proportional to 36,075.76, 54,113.63 and 9,779.82

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Solution

The fourth proportional to 36,075.76, 54,113.63 and 9,779.82 is: 14,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,075.76 : 54,113.63 = 9,779.82 : x
  2. Step 2: Convert to fraction form
    36,075.76/54,113.63 = 9,779.82/x
  3. Step 3: Cross multiply
    36,075.76x = 54,113.63 × 9,779.82
  4. Step 4: Simplify right side
    36,075.76x = 529,221,560.95
  5. Step 5: Solve for x
    x = 529,221,560.95/36,075.76
  6. Step 6: Final answer
    x = 14,669.73

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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.