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Finding the Fourth Proportional to 77,124.96, 106,415.28 and 46,926

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Solution

The fourth proportional to 77,124.96, 106,415.28 and 46,926 is: 64,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,124.96 : 106,415.28 = 46,926 : x
  2. Step 2: Convert to fraction form
    77,124.96/106,415.28 = 46,926/x
  3. Step 3: Cross multiply
    77,124.96x = 106,415.28 × 46,926
  4. Step 4: Simplify right side
    77,124.96x = 4,993,643,429.28
  5. Step 5: Solve for x
    x = 4,993,643,429.28/77,124.96
  6. Step 6: Final answer
    x = 64,747.44

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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.