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Finding the Fourth Proportional to 69,842.74, 96,315.96 and 46,924.34

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Solution

The fourth proportional to 69,842.74, 96,315.96 and 46,924.34 is: 64,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,842.74 : 96,315.96 = 46,924.34 : x
  2. Step 2: Convert to fraction form
    69,842.74/96,315.96 = 46,924.34/x
  3. Step 3: Cross multiply
    69,842.74x = 96,315.96 × 46,924.34
  4. Step 4: Simplify right side
    69,842.74x = 4,519,562,854.47
  5. Step 5: Solve for x
    x = 4,519,562,854.47/69,842.74
  6. Step 6: Final answer
    x = 64,710.56

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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.