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Finding the Fourth Proportional to 32,274.96, 48,412.43 and 11,483.88

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Solution

The fourth proportional to 32,274.96, 48,412.43 and 11,483.88 is: 17,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.96 : 48,412.43 = 11,483.88 : x
  2. Step 2: Convert to fraction form
    32,274.96/48,412.43 = 11,483.88/x
  3. Step 3: Cross multiply
    32,274.96x = 48,412.43 × 11,483.88
  4. Step 4: Simplify right side
    32,274.96x = 555,962,536.63
  5. Step 5: Solve for x
    x = 555,962,536.63/32,274.96
  6. Step 6: Final answer
    x = 17,225.82

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Why These Related Problems?

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