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Finding the Fourth Proportional to 102,132.60, 153,201.60 and 32,013.60

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Solution

The fourth proportional to 102,132.60, 153,201.60 and 32,013.60 is: 48,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132.60 : 153,201.60 = 32,013.60 : x
  2. Step 2: Convert to fraction form
    102,132.60/153,201.60 = 32,013.60/x
  3. Step 3: Cross multiply
    102,132.60x = 153,201.60 × 32,013.60
  4. Step 4: Simplify right side
    102,132.60x = 4,904,534,741.76
  5. Step 5: Solve for x
    x = 4,904,534,741.76/102,132.60
  6. Step 6: Final answer
    x = 48,021.25

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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.