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Finding the Fourth Proportional to 115,564, 173,346.04 and 32,458

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Solution

The fourth proportional to 115,564, 173,346.04 and 32,458 is: 48,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,564 : 173,346.04 = 32,458 : x
  2. Step 2: Convert to fraction form
    115,564/173,346.04 = 32,458/x
  3. Step 3: Cross multiply
    115,564x = 173,346.04 × 32,458
  4. Step 4: Simplify right side
    115,564x = 5,626,465,766.32
  5. Step 5: Solve for x
    x = 5,626,465,766.32/115,564
  6. Step 6: Final answer
    x = 48,687.01

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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.