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Finding the Fourth Proportional to 92,564.63, 127,739.80 and 50,123.16

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Solution

The fourth proportional to 92,564.63, 127,739.80 and 50,123.16 is: 69,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,564.63 : 127,739.80 = 50,123.16 : x
  2. Step 2: Convert to fraction form
    92,564.63/127,739.80 = 50,123.16/x
  3. Step 3: Cross multiply
    92,564.63x = 127,739.80 × 50,123.16
  4. Step 4: Simplify right side
    92,564.63x = 6,402,722,496.42
  5. Step 5: Solve for x
    x = 6,402,722,496.42/92,564.63
  6. Step 6: Final answer
    x = 69,170.29

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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.