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Finding the Fourth Proportional to 136,528.50, 204,827.31 and 38,032.50

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Solution

The fourth proportional to 136,528.50, 204,827.31 and 38,032.50 is: 57,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,528.50 : 204,827.31 = 38,032.50 : x
  2. Step 2: Convert to fraction form
    136,528.50/204,827.31 = 38,032.50/x
  3. Step 3: Cross multiply
    136,528.50x = 204,827.31 × 38,032.50
  4. Step 4: Simplify right side
    136,528.50x = 7,790,094,667.58
  5. Step 5: Solve for x
    x = 7,790,094,667.58/136,528.50
  6. Step 6: Final answer
    x = 57,058.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.