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Finding the Fourth Proportional to 30,656.34, 45,984.51 and 20,771.10

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Solution

The fourth proportional to 30,656.34, 45,984.51 and 20,771.10 is: 31,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.34 : 45,984.51 = 20,771.10 : x
  2. Step 2: Convert to fraction form
    30,656.34/45,984.51 = 20,771.10/x
  3. Step 3: Cross multiply
    30,656.34x = 45,984.51 × 20,771.10
  4. Step 4: Simplify right side
    30,656.34x = 955,148,855.66
  5. Step 5: Solve for x
    x = 955,148,855.66/30,656.34
  6. Step 6: Final answer
    x = 31,156.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.