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Finding the Fourth Proportional to 76,279.38, 105,148.92 and 53,554.68

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Solution

The fourth proportional to 76,279.38, 105,148.92 and 53,554.68 is: 73,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,279.38 : 105,148.92 = 53,554.68 : x
  2. Step 2: Convert to fraction form
    76,279.38/105,148.92 = 53,554.68/x
  3. Step 3: Cross multiply
    76,279.38x = 105,148.92 × 53,554.68
  4. Step 4: Simplify right side
    76,279.38x = 5,631,216,762.95
  5. Step 5: Solve for x
    x = 5,631,216,762.95/76,279.38
  6. Step 6: Final answer
    x = 73,823.58

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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.