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Finding the Fourth Proportional to 97,907.01, 135,106.38 and 55,464.63

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Solution

The fourth proportional to 97,907.01, 135,106.38 and 55,464.63 is: 76,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,907.01 : 135,106.38 = 55,464.63 : x
  2. Step 2: Convert to fraction form
    97,907.01/135,106.38 = 55,464.63/x
  3. Step 3: Cross multiply
    97,907.01x = 135,106.38 × 55,464.63
  4. Step 4: Simplify right side
    97,907.01x = 7,493,625,377.34
  5. Step 5: Solve for x
    x = 7,493,625,377.34/97,907.01
  6. Step 6: Final answer
    x = 76,538.19

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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.