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Finding the Fourth Proportional to 77,394.42, 116,009.34 and 49,225.86

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Solution

The fourth proportional to 77,394.42, 116,009.34 and 49,225.86 is: 73,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394.42 : 116,009.34 = 49,225.86 : x
  2. Step 2: Convert to fraction form
    77,394.42/116,009.34 = 49,225.86/x
  3. Step 3: Cross multiply
    77,394.42x = 116,009.34 × 49,225.86
  4. Step 4: Simplify right side
    77,394.42x = 5,710,659,529.53
  5. Step 5: Solve for x
    x = 5,710,659,529.53/77,394.42
  6. Step 6: Final answer
    x = 73,786.45

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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.