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Finding the Fourth Proportional to 53,907.74, 80,932.80 and 46,060.50

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Solution

The fourth proportional to 53,907.74, 80,932.80 and 46,060.50 is: 69,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,907.74 : 80,932.80 = 46,060.50 : x
  2. Step 2: Convert to fraction form
    53,907.74/80,932.80 = 46,060.50/x
  3. Step 3: Cross multiply
    53,907.74x = 80,932.80 × 46,060.50
  4. Step 4: Simplify right side
    53,907.74x = 3,727,805,234.40
  5. Step 5: Solve for x
    x = 3,727,805,234.40/53,907.74
  6. Step 6: Final answer
    x = 69,151.58

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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.