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Finding the Fourth Proportional to 97,858.42, 135,041.01 and 53,145.46

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Solution

The fourth proportional to 97,858.42, 135,041.01 and 53,145.46 is: 73,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858.42 : 135,041.01 = 53,145.46 : x
  2. Step 2: Convert to fraction form
    97,858.42/135,041.01 = 53,145.46/x
  3. Step 3: Cross multiply
    97,858.42x = 135,041.01 × 53,145.46
  4. Step 4: Simplify right side
    97,858.42x = 7,176,816,595.31
  5. Step 5: Solve for x
    x = 7,176,816,595.31/97,858.42
  6. Step 6: Final answer
    x = 73,338.77

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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.