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Finding the Fourth Proportional to 51,777.74, 77,688.48 and 33,078.89

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Solution

The fourth proportional to 51,777.74, 77,688.48 and 33,078.89 is: 49,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,777.74 : 77,688.48 = 33,078.89 : x
  2. Step 2: Convert to fraction form
    51,777.74/77,688.48 = 33,078.89/x
  3. Step 3: Cross multiply
    51,777.74x = 77,688.48 × 33,078.89
  4. Step 4: Simplify right side
    51,777.74x = 2,569,849,002.45
  5. Step 5: Solve for x
    x = 2,569,849,002.45/51,777.74
  6. Step 6: Final answer
    x = 49,632.31

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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.