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Finding the Fourth Proportional to 77,668, 107,177.44 and 45,829.60

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Solution

The fourth proportional to 77,668, 107,177.44 and 45,829.60 is: 63,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668 : 107,177.44 = 45,829.60 : x
  2. Step 2: Convert to fraction form
    77,668/107,177.44 = 45,829.60/x
  3. Step 3: Cross multiply
    77,668x = 107,177.44 × 45,829.60
  4. Step 4: Simplify right side
    77,668x = 4,911,899,204.22
  5. Step 5: Solve for x
    x = 4,911,899,204.22/77,668
  6. Step 6: Final answer
    x = 63,242.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.