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Finding the Fourth Proportional to 76,461.44, 105,453.60 and 46,245.44

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Solution

The fourth proportional to 76,461.44, 105,453.60 and 46,245.44 is: 63,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,461.44 : 105,453.60 = 46,245.44 : x
  2. Step 2: Convert to fraction form
    76,461.44/105,453.60 = 46,245.44/x
  3. Step 3: Cross multiply
    76,461.44x = 105,453.60 × 46,245.44
  4. Step 4: Simplify right side
    76,461.44x = 4,876,748,131.58
  5. Step 5: Solve for x
    x = 4,876,748,131.58/76,461.44
  6. Step 6: Final answer
    x = 63,780.49

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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.