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Finding the Fourth Proportional to 159,637.50, 239,456.34 and 48,829.50

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Solution

The fourth proportional to 159,637.50, 239,456.34 and 48,829.50 is: 73,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,637.50 : 239,456.34 = 48,829.50 : x
  2. Step 2: Convert to fraction form
    159,637.50/239,456.34 = 48,829.50/x
  3. Step 3: Cross multiply
    159,637.50x = 239,456.34 × 48,829.50
  4. Step 4: Simplify right side
    159,637.50x = 11,692,533,354.03
  5. Step 5: Solve for x
    x = 11,692,533,354.03/159,637.50
  6. Step 6: Final answer
    x = 73,244.28

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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.