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Finding the Fourth Proportional to 115,400.60, 172,971.30 and 48,829.40

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Solution

The fourth proportional to 115,400.60, 172,971.30 and 48,829.40 is: 73,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,400.60 : 172,971.30 = 48,829.40 : x
  2. Step 2: Convert to fraction form
    115,400.60/172,971.30 = 48,829.40/x
  3. Step 3: Cross multiply
    115,400.60x = 172,971.30 × 48,829.40
  4. Step 4: Simplify right side
    115,400.60x = 8,446,084,796.22
  5. Step 5: Solve for x
    x = 8,446,084,796.22/115,400.60
  6. Step 6: Final answer
    x = 73,189.26

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