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Finding the Fourth Proportional to 76,653.01, 105,721.14 and 49,804.24

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Solution

The fourth proportional to 76,653.01, 105,721.14 and 49,804.24 is: 68,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653.01 : 105,721.14 = 49,804.24 : x
  2. Step 2: Convert to fraction form
    76,653.01/105,721.14 = 49,804.24/x
  3. Step 3: Cross multiply
    76,653.01x = 105,721.14 × 49,804.24
  4. Step 4: Simplify right side
    76,653.01x = 5,265,361,097.48
  5. Step 5: Solve for x
    x = 5,265,361,097.48/76,653.01
  6. Step 6: Final answer
    x = 68,690.86

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1.5x scale

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.