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Finding the Fourth Proportional to 39,783.58, 54,899.86 and 21,878.40

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Solution

The fourth proportional to 39,783.58, 54,899.86 and 21,878.40 is: 30,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,783.58 : 54,899.86 = 21,878.40 : x
  2. Step 2: Convert to fraction form
    39,783.58/54,899.86 = 21,878.40/x
  3. Step 3: Cross multiply
    39,783.58x = 54,899.86 × 21,878.40
  4. Step 4: Simplify right side
    39,783.58x = 1,201,121,097.02
  5. Step 5: Solve for x
    x = 1,201,121,097.02/39,783.58
  6. Step 6: Final answer
    x = 30,191.38

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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.