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Finding the Fourth Proportional to 106,425, 159,637.56 and 32,553

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Solution

The fourth proportional to 106,425, 159,637.56 and 32,553 is: 48,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,425 : 159,637.56 = 32,553 : x
  2. Step 2: Convert to fraction form
    106,425/159,637.56 = 32,553/x
  3. Step 3: Cross multiply
    106,425x = 159,637.56 × 32,553
  4. Step 4: Simplify right side
    106,425x = 5,196,681,490.68
  5. Step 5: Solve for x
    x = 5,196,681,490.68/106,425
  6. Step 6: Final answer
    x = 48,829.52

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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.