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Finding the Fourth Proportional to 77,004.36, 106,326.18 and 59,071

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Solution

The fourth proportional to 77,004.36, 106,326.18 and 59,071 is: 81,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,004.36 : 106,326.18 = 59,071 : x
  2. Step 2: Convert to fraction form
    77,004.36/106,326.18 = 59,071/x
  3. Step 3: Cross multiply
    77,004.36x = 106,326.18 × 59,071
  4. Step 4: Simplify right side
    77,004.36x = 6,280,793,778.78
  5. Step 5: Solve for x
    x = 6,280,793,778.78/77,004.36
  6. Step 6: Final answer
    x = 81,564.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.