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Finding the Fourth Proportional to 82,733.38, 114,172.95 and 45,007.72

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Solution

The fourth proportional to 82,733.38, 114,172.95 and 45,007.72 is: 62,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,733.38 : 114,172.95 = 45,007.72 : x
  2. Step 2: Convert to fraction form
    82,733.38/114,172.95 = 45,007.72/x
  3. Step 3: Cross multiply
    82,733.38x = 114,172.95 × 45,007.72
  4. Step 4: Simplify right side
    82,733.38x = 5,138,664,165.17
  5. Step 5: Solve for x
    x = 5,138,664,165.17/82,733.38
  6. Step 6: Final answer
    x = 62,111.14

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Why These Related Problems?

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