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Finding the Fourth Proportional to 76,345.92, 114,463.51 and 51,323.90

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Solution

The fourth proportional to 76,345.92, 114,463.51 and 51,323.90 is: 76,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345.92 : 114,463.51 = 51,323.90 : x
  2. Step 2: Convert to fraction form
    76,345.92/114,463.51 = 51,323.90/x
  3. Step 3: Cross multiply
    76,345.92x = 114,463.51 × 51,323.90
  4. Step 4: Simplify right side
    76,345.92x = 5,874,713,740.89
  5. Step 5: Solve for x
    x = 5,874,713,740.89/76,345.92
  6. Step 6: Final answer
    x = 76,948.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.