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Finding the Fourth Proportional to 84,401, 116,468.64 and 46,152.96

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Solution

The fourth proportional to 84,401, 116,468.64 and 46,152.96 is: 63,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,401 : 116,468.64 = 46,152.96 : x
  2. Step 2: Convert to fraction form
    84,401/116,468.64 = 46,152.96/x
  3. Step 3: Cross multiply
    84,401x = 116,468.64 × 46,152.96
  4. Step 4: Simplify right side
    84,401x = 5,375,372,483.17
  5. Step 5: Solve for x
    x = 5,375,372,483.17/84,401
  6. Step 6: Final answer
    x = 63,688.49

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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.