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Finding the Fourth Proportional to 83,989.63, 115,905.70 and 46,263.88

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Solution

The fourth proportional to 83,989.63, 115,905.70 and 46,263.88 is: 63,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989.63 : 115,905.70 = 46,263.88 : x
  2. Step 2: Convert to fraction form
    83,989.63/115,905.70 = 46,263.88/x
  3. Step 3: Cross multiply
    83,989.63x = 115,905.70 × 46,263.88
  4. Step 4: Simplify right side
    83,989.63x = 5,362,247,164.80
  5. Step 5: Solve for x
    x = 5,362,247,164.80/83,989.63
  6. Step 6: Final answer
    x = 63,844.16

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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.