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Finding the Fourth Proportional to 99,669.38, 137,542.74 and 54,347.26

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Solution

The fourth proportional to 99,669.38, 137,542.74 and 54,347.26 is: 74,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,669.38 : 137,542.74 = 54,347.26 : x
  2. Step 2: Convert to fraction form
    99,669.38/137,542.74 = 54,347.26/x
  3. Step 3: Cross multiply
    99,669.38x = 137,542.74 × 54,347.26
  4. Step 4: Simplify right side
    99,669.38x = 7,475,071,051.89
  5. Step 5: Solve for x
    x = 7,475,071,051.89/99,669.38
  6. Step 6: Final answer
    x = 74,998.67

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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.