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Finding the Fourth Proportional to 53,076.84, 78,988.76 and 51,305.38

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Solution

The fourth proportional to 53,076.84, 78,988.76 and 51,305.38 is: 76,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,076.84 : 78,988.76 = 51,305.38 : x
  2. Step 2: Convert to fraction form
    53,076.84/78,988.76 = 51,305.38/x
  3. Step 3: Cross multiply
    53,076.84x = 78,988.76 × 51,305.38
  4. Step 4: Simplify right side
    53,076.84x = 4,052,548,347.53
  5. Step 5: Solve for x
    x = 4,052,548,347.53/53,076.84
  6. Step 6: Final answer
    x = 76,352.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.