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Finding the Fourth Proportional to 102,159.76, 153,241.28 and 32,039.68

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Solution

The fourth proportional to 102,159.76, 153,241.28 and 32,039.68 is: 48,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159.76 : 153,241.28 = 32,039.68 : x
  2. Step 2: Convert to fraction form
    102,159.76/153,241.28 = 32,039.68/x
  3. Step 3: Cross multiply
    102,159.76x = 153,241.28 × 32,039.68
  4. Step 4: Simplify right side
    102,159.76x = 4,909,801,573.99
  5. Step 5: Solve for x
    x = 4,909,801,573.99/102,159.76
  6. Step 6: Final answer
    x = 48,060.03

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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.