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Finding the Fourth Proportional to 77,857.48, 107,443.46 and 44,323.48

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Solution

The fourth proportional to 77,857.48, 107,443.46 and 44,323.48 is: 61,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.48 : 107,443.46 = 44,323.48 : x
  2. Step 2: Convert to fraction form
    77,857.48/107,443.46 = 44,323.48/x
  3. Step 3: Cross multiply
    77,857.48x = 107,443.46 × 44,323.48
  4. Step 4: Simplify right side
    77,857.48x = 4,762,268,050.44
  5. Step 5: Solve for x
    x = 4,762,268,050.44/77,857.48
  6. Step 6: Final answer
    x = 61,166.48

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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.