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Finding the Fourth Proportional to 30,975.78, 42,750.41 and 18,400.58

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Solution

The fourth proportional to 30,975.78, 42,750.41 and 18,400.58 is: 25,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.78 : 42,750.41 = 18,400.58 : x
  2. Step 2: Convert to fraction form
    30,975.78/42,750.41 = 18,400.58/x
  3. Step 3: Cross multiply
    30,975.78x = 42,750.41 × 18,400.58
  4. Step 4: Simplify right side
    30,975.78x = 786,632,339.24
  5. Step 5: Solve for x
    x = 786,632,339.24/30,975.78
  6. Step 6: Final answer
    x = 25,395.08

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1.5x scale

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.