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Finding the Fourth Proportional to 77,554.56, 116,332.56 and 49,872

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Solution

The fourth proportional to 77,554.56, 116,332.56 and 49,872 is: 74,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,554.56 : 116,332.56 = 49,872 : x
  2. Step 2: Convert to fraction form
    77,554.56/116,332.56 = 49,872/x
  3. Step 3: Cross multiply
    77,554.56x = 116,332.56 × 49,872
  4. Step 4: Simplify right side
    77,554.56x = 5,801,737,432.32
  5. Step 5: Solve for x
    x = 5,801,737,432.32/77,554.56
  6. Step 6: Final answer
    x = 74,808.46

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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.