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Finding the Fourth Proportional to 76,104.16, 105,023.34 and 43,826.98

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Solution

The fourth proportional to 76,104.16, 105,023.34 and 43,826.98 is: 60,481.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,104.16 : 105,023.34 = 43,826.98 : x
  2. Step 2: Convert to fraction form
    76,104.16/105,023.34 = 43,826.98/x
  3. Step 3: Cross multiply
    76,104.16x = 105,023.34 × 43,826.98
  4. Step 4: Simplify right side
    76,104.16x = 4,602,855,821.71
  5. Step 5: Solve for x
    x = 4,602,855,821.71/76,104.16
  6. Step 6: Final answer
    x = 60,481.00

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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.