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Finding the Fourth Proportional to 49,977, 74,907.18 and 27,779.76

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Solution

The fourth proportional to 49,977, 74,907.18 and 27,779.76 is: 41,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,977 : 74,907.18 = 27,779.76 : x
  2. Step 2: Convert to fraction form
    49,977/74,907.18 = 27,779.76/x
  3. Step 3: Cross multiply
    49,977x = 74,907.18 × 27,779.76
  4. Step 4: Simplify right side
    49,977x = 2,080,903,482.68
  5. Step 5: Solve for x
    x = 2,080,903,482.68/49,977
  6. Step 6: Final answer
    x = 41,637.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.