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Finding the Fourth Proportional to 97,100.94, 134,006.10 and 54,083.88

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Solution

The fourth proportional to 97,100.94, 134,006.10 and 54,083.88 is: 74,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,100.94 : 134,006.10 = 54,083.88 : x
  2. Step 2: Convert to fraction form
    97,100.94/134,006.10 = 54,083.88/x
  3. Step 3: Cross multiply
    97,100.94x = 134,006.10 × 54,083.88
  4. Step 4: Simplify right side
    97,100.94x = 7,247,569,831.67
  5. Step 5: Solve for x
    x = 7,247,569,831.67/97,100.94
  6. Step 6: Final answer
    x = 74,639.54

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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.