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Finding the Fourth Proportional to 57,783, 79,747.02 and 32,634.12

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Solution

The fourth proportional to 57,783, 79,747.02 and 32,634.12 is: 45,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783 : 79,747.02 = 32,634.12 : x
  2. Step 2: Convert to fraction form
    57,783/79,747.02 = 32,634.12/x
  3. Step 3: Cross multiply
    57,783x = 79,747.02 × 32,634.12
  4. Step 4: Simplify right side
    57,783x = 2,602,473,820.32
  5. Step 5: Solve for x
    x = 2,602,473,820.32/57,783
  6. Step 6: Final answer
    x = 45,038.75

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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.