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Finding the Fourth Proportional to 84,362.68, 116,415.93 and 46,634.50

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Solution

The fourth proportional to 84,362.68, 116,415.93 and 46,634.50 is: 64,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,362.68 : 116,415.93 = 46,634.50 : x
  2. Step 2: Convert to fraction form
    84,362.68/116,415.93 = 46,634.50/x
  3. Step 3: Cross multiply
    84,362.68x = 116,415.93 × 46,634.50
  4. Step 4: Simplify right side
    84,362.68x = 5,428,998,687.59
  5. Step 5: Solve for x
    x = 5,428,998,687.59/84,362.68
  6. Step 6: Final answer
    x = 64,353.08

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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.