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Finding the Fourth Proportional to 76,554.45, 105,608.30 and 49,705.38

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Solution

The fourth proportional to 76,554.45, 105,608.30 and 49,705.38 is: 68,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,554.45 : 105,608.30 = 49,705.38 : x
  2. Step 2: Convert to fraction form
    76,554.45/105,608.30 = 49,705.38/x
  3. Step 3: Cross multiply
    76,554.45x = 105,608.30 × 49,705.38
  4. Step 4: Simplify right side
    76,554.45x = 5,249,300,434.13
  5. Step 5: Solve for x
    x = 5,249,300,434.13/76,554.45
  6. Step 6: Final answer
    x = 68,569.50

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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.