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Finding the Fourth Proportional to 77,349.07, 116,023.70 and 21,189.66

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Solution

The fourth proportional to 77,349.07, 116,023.70 and 21,189.66 is: 31,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,349.07 : 116,023.70 = 21,189.66 : x
  2. Step 2: Convert to fraction form
    77,349.07/116,023.70 = 21,189.66/x
  3. Step 3: Cross multiply
    77,349.07x = 116,023.70 × 21,189.66
  4. Step 4: Simplify right side
    77,349.07x = 2,458,502,754.94
  5. Step 5: Solve for x
    x = 2,458,502,754.94/77,349.07
  6. Step 6: Final answer
    x = 31,784.52

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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.