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Finding the Fourth Proportional to 36,075.76, 54,115.18 and 9,780.50

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Solution

The fourth proportional to 36,075.76, 54,115.18 and 9,780.50 is: 14,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,075.76 : 54,115.18 = 9,780.50 : x
  2. Step 2: Convert to fraction form
    36,075.76/54,115.18 = 9,780.50/x
  3. Step 3: Cross multiply
    36,075.76x = 54,115.18 × 9,780.50
  4. Step 4: Simplify right side
    36,075.76x = 529,273,628.83
  5. Step 5: Solve for x
    x = 529,273,628.83/36,075.76
  6. Step 6: Final answer
    x = 14,671.17

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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.