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Finding the Fourth Proportional to 77,841.60, 107,416.96 and 46,013.44

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Solution

The fourth proportional to 77,841.60, 107,416.96 and 46,013.44 is: 63,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,841.60 : 107,416.96 = 46,013.44 : x
  2. Step 2: Convert to fraction form
    77,841.60/107,416.96 = 46,013.44/x
  3. Step 3: Cross multiply
    77,841.60x = 107,416.96 × 46,013.44
  4. Step 4: Simplify right side
    77,841.60x = 4,942,623,843.94
  5. Step 5: Solve for x
    x = 4,942,623,843.94/77,841.60
  6. Step 6: Final answer
    x = 63,495.92

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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.