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Finding the Fourth Proportional to 32,773.88, 49,154.34 and 9,402.68

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Solution

The fourth proportional to 32,773.88, 49,154.34 and 9,402.68 is: 14,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,773.88 : 49,154.34 = 9,402.68 : x
  2. Step 2: Convert to fraction form
    32,773.88/49,154.34 = 9,402.68/x
  3. Step 3: Cross multiply
    32,773.88x = 49,154.34 × 9,402.68
  4. Step 4: Simplify right side
    32,773.88x = 462,182,529.63
  5. Step 5: Solve for x
    x = 462,182,529.63/32,773.88
  6. Step 6: Final answer
    x = 14,102.16

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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.