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Finding the Fourth Proportional to 97,873.80, 135,075.32 and 54,860.60

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Solution

The fourth proportional to 97,873.80, 135,075.32 and 54,860.60 is: 75,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,873.80 : 135,075.32 = 54,860.60 : x
  2. Step 2: Convert to fraction form
    97,873.80/135,075.32 = 54,860.60/x
  3. Step 3: Cross multiply
    97,873.80x = 135,075.32 × 54,860.60
  4. Step 4: Simplify right side
    97,873.80x = 7,410,312,356.44
  5. Step 5: Solve for x
    x = 7,410,312,356.44/97,873.80
  6. Step 6: Final answer
    x = 75,712.93

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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.