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Finding the Fourth Proportional to 76,897.31, 106,120.81 and 44,629.49

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Solution

The fourth proportional to 76,897.31, 106,120.81 and 44,629.49 is: 61,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,897.31 : 106,120.81 = 44,629.49 : x
  2. Step 2: Convert to fraction form
    76,897.31/106,120.81 = 44,629.49/x
  3. Step 3: Cross multiply
    76,897.31x = 106,120.81 × 44,629.49
  4. Step 4: Simplify right side
    76,897.31x = 4,736,117,098.08
  5. Step 5: Solve for x
    x = 4,736,117,098.08/76,897.31
  6. Step 6: Final answer
    x = 61,590.16

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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.