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Finding the Fourth Proportional to 115,104.48, 172,656.48 and 36,225.60

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Solution

The fourth proportional to 115,104.48, 172,656.48 and 36,225.60 is: 54,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,104.48 : 172,656.48 = 36,225.60 : x
  2. Step 2: Convert to fraction form
    115,104.48/172,656.48 = 36,225.60/x
  3. Step 3: Cross multiply
    115,104.48x = 172,656.48 × 36,225.60
  4. Step 4: Simplify right side
    115,104.48x = 6,254,584,581.89
  5. Step 5: Solve for x
    x = 6,254,584,581.89/115,104.48
  6. Step 6: Final answer
    x = 54,338.32

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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.