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Finding the Fourth Proportional to 76,258.90, 114,403.59 and 26,340.82

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Solution

The fourth proportional to 76,258.90, 114,403.59 and 26,340.82 is: 39,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,258.90 : 114,403.59 = 26,340.82 : x
  2. Step 2: Convert to fraction form
    76,258.90/114,403.59 = 26,340.82/x
  3. Step 3: Cross multiply
    76,258.90x = 114,403.59 × 26,340.82
  4. Step 4: Simplify right side
    76,258.90x = 3,013,484,371.54
  5. Step 5: Solve for x
    x = 3,013,484,371.54/76,258.90
  6. Step 6: Final answer
    x = 39,516.49

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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.