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Finding the Fourth Proportional to 47,878.68, 66,075.31 and 28,764.30

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Solution

The fourth proportional to 47,878.68, 66,075.31 and 28,764.30 is: 39,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,878.68 : 66,075.31 = 28,764.30 : x
  2. Step 2: Convert to fraction form
    47,878.68/66,075.31 = 28,764.30/x
  3. Step 3: Cross multiply
    47,878.68x = 66,075.31 × 28,764.30
  4. Step 4: Simplify right side
    47,878.68x = 1,900,610,039.43
  5. Step 5: Solve for x
    x = 1,900,610,039.43/47,878.68
  6. Step 6: Final answer
    x = 39,696.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.