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Finding the Fourth Proportional to 39,205.08, 54,101.88 and 22,437

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Solution

The fourth proportional to 39,205.08, 54,101.88 and 22,437 is: 30,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,205.08 : 54,101.88 = 22,437 : x
  2. Step 2: Convert to fraction form
    39,205.08/54,101.88 = 22,437/x
  3. Step 3: Cross multiply
    39,205.08x = 54,101.88 × 22,437
  4. Step 4: Simplify right side
    39,205.08x = 1,213,883,881.56
  5. Step 5: Solve for x
    x = 1,213,883,881.56/39,205.08
  6. Step 6: Final answer
    x = 30,962.41

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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.