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Finding the Fourth Proportional to 37,075.71, 55,624.91 and 10,780.68

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Solution

The fourth proportional to 37,075.71, 55,624.91 and 10,780.68 is: 16,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,075.71 : 55,624.91 = 10,780.68 : x
  2. Step 2: Convert to fraction form
    37,075.71/55,624.91 = 10,780.68/x
  3. Step 3: Cross multiply
    37,075.71x = 55,624.91 × 10,780.68
  4. Step 4: Simplify right side
    37,075.71x = 599,674,354.74
  5. Step 5: Solve for x
    x = 599,674,354.74/37,075.71
  6. Step 6: Final answer
    x = 16,174.32

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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.