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Finding the Fourth Proportional to 97,860.25, 135,047.19 and 53,148.25

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Solution

The fourth proportional to 97,860.25, 135,047.19 and 53,148.25 is: 73,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,860.25 : 135,047.19 = 53,148.25 : x
  2. Step 2: Convert to fraction form
    97,860.25/135,047.19 = 53,148.25/x
  3. Step 3: Cross multiply
    97,860.25x = 135,047.19 × 53,148.25
  4. Step 4: Simplify right side
    97,860.25x = 7,177,521,815.92
  5. Step 5: Solve for x
    x = 7,177,521,815.92/97,860.25
  6. Step 6: Final answer
    x = 73,344.61

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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.