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Finding the Fourth Proportional to 83,820.36, 115,669.08 and 46,094.34

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Solution

The fourth proportional to 83,820.36, 115,669.08 and 46,094.34 is: 63,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,820.36 : 115,669.08 = 46,094.34 : x
  2. Step 2: Convert to fraction form
    83,820.36/115,669.08 = 46,094.34/x
  3. Step 3: Cross multiply
    83,820.36x = 115,669.08 × 46,094.34
  4. Step 4: Simplify right side
    83,820.36x = 5,331,689,901.01
  5. Step 5: Solve for x
    x = 5,331,689,901.01/83,820.36
  6. Step 6: Final answer
    x = 63,608.53

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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.