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Finding the Fourth Proportional to 77,458.92, 116,203.50 and 24,864.36

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Solution

The fourth proportional to 77,458.92, 116,203.50 and 24,864.36 is: 37,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,458.92 : 116,203.50 = 24,864.36 : x
  2. Step 2: Convert to fraction form
    77,458.92/116,203.50 = 24,864.36/x
  3. Step 3: Cross multiply
    77,458.92x = 116,203.50 × 24,864.36
  4. Step 4: Simplify right side
    77,458.92x = 2,889,325,657.26
  5. Step 5: Solve for x
    x = 2,889,325,657.26/77,458.92
  6. Step 6: Final answer
    x = 37,301.39

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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.