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Finding the Fourth Proportional to 45,771.64, 63,191.78 and 34,349

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Solution

The fourth proportional to 45,771.64, 63,191.78 and 34,349 is: 47,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,771.64 : 63,191.78 = 34,349 : x
  2. Step 2: Convert to fraction form
    45,771.64/63,191.78 = 34,349/x
  3. Step 3: Cross multiply
    45,771.64x = 63,191.78 × 34,349
  4. Step 4: Simplify right side
    45,771.64x = 2,170,574,451.22
  5. Step 5: Solve for x
    x = 2,170,574,451.22/45,771.64
  6. Step 6: Final answer
    x = 47,421.82

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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.