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Finding the Fourth Proportional to 47,075.78, 64,975.78 and 26,944.28

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Solution

The fourth proportional to 47,075.78, 64,975.78 and 26,944.28 is: 37,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,075.78 : 64,975.78 = 26,944.28 : x
  2. Step 2: Convert to fraction form
    47,075.78/64,975.78 = 26,944.28/x
  3. Step 3: Cross multiply
    47,075.78x = 64,975.78 × 26,944.28
  4. Step 4: Simplify right side
    47,075.78x = 1,750,725,562.00
  5. Step 5: Solve for x
    x = 1,750,725,562.00/47,075.78
  6. Step 6: Final answer
    x = 37,189.52

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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.