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Finding the Fourth Proportional to 76,364.34, 114,580.53 and 29,620.86

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Solution

The fourth proportional to 76,364.34, 114,580.53 and 29,620.86 is: 44,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364.34 : 114,580.53 = 29,620.86 : x
  2. Step 2: Convert to fraction form
    76,364.34/114,580.53 = 29,620.86/x
  3. Step 3: Cross multiply
    76,364.34x = 114,580.53 × 29,620.86
  4. Step 4: Simplify right side
    76,364.34x = 3,393,973,837.86
  5. Step 5: Solve for x
    x = 3,393,973,837.86/76,364.34
  6. Step 6: Final answer
    x = 44,444.49

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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.