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Finding the Fourth Proportional to 76,944, 106,182.72 and 43,409.28

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Solution

The fourth proportional to 76,944, 106,182.72 and 43,409.28 is: 59,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944 : 106,182.72 = 43,409.28 : x
  2. Step 2: Convert to fraction form
    76,944/106,182.72 = 43,409.28/x
  3. Step 3: Cross multiply
    76,944x = 106,182.72 × 43,409.28
  4. Step 4: Simplify right side
    76,944x = 4,609,315,423.64
  5. Step 5: Solve for x
    x = 4,609,315,423.64/76,944
  6. Step 6: Final answer
    x = 59,904.81

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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.