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Finding the Fourth Proportional to 82,730.25, 114,168.02 and 45,004.50

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Solution

The fourth proportional to 82,730.25, 114,168.02 and 45,004.50 is: 62,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,730.25 : 114,168.02 = 45,004.50 : x
  2. Step 2: Convert to fraction form
    82,730.25/114,168.02 = 45,004.50/x
  3. Step 3: Cross multiply
    82,730.25x = 114,168.02 × 45,004.50
  4. Step 4: Simplify right side
    82,730.25x = 5,138,074,431.07
  5. Step 5: Solve for x
    x = 5,138,074,431.07/82,730.25
  6. Step 6: Final answer
    x = 62,106.36

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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.