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Finding the Fourth Proportional to 115,313.60, 172,970.40 and 32,207.60

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Solution

The fourth proportional to 115,313.60, 172,970.40 and 32,207.60 is: 48,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,313.60 : 172,970.40 = 32,207.60 : x
  2. Step 2: Convert to fraction form
    115,313.60/172,970.40 = 32,207.60/x
  3. Step 3: Cross multiply
    115,313.60x = 172,970.40 × 32,207.60
  4. Step 4: Simplify right side
    115,313.60x = 5,570,961,455.04
  5. Step 5: Solve for x
    x = 5,570,961,455.04/115,313.60
  6. Step 6: Final answer
    x = 48,311.40

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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.