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Finding the Fourth Proportional to 115,465, 173,202.54 and 36,585.04

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Solution

The fourth proportional to 115,465, 173,202.54 and 36,585.04 is: 54,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,465 : 173,202.54 = 36,585.04 : x
  2. Step 2: Convert to fraction form
    115,465/173,202.54 = 36,585.04/x
  3. Step 3: Cross multiply
    115,465x = 173,202.54 × 36,585.04
  4. Step 4: Simplify right side
    115,465x = 6,336,621,854.00
  5. Step 5: Solve for x
    x = 6,336,621,854.00/115,465
  6. Step 6: Final answer
    x = 54,879.16

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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.