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Finding the Fourth Proportional to 76,263.60, 105,228.27 and 49,402.38

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Solution

The fourth proportional to 76,263.60, 105,228.27 and 49,402.38 is: 68,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,263.60 : 105,228.27 = 49,402.38 : x
  2. Step 2: Convert to fraction form
    76,263.60/105,228.27 = 49,402.38/x
  3. Step 3: Cross multiply
    76,263.60x = 105,228.27 × 49,402.38
  4. Step 4: Simplify right side
    76,263.60x = 5,198,526,981.28
  5. Step 5: Solve for x
    x = 5,198,526,981.28/76,263.60
  6. Step 6: Final answer
    x = 68,165.25

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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.