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Finding the Fourth Proportional to 115,563, 173,344.54 and 32,457

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Solution

The fourth proportional to 115,563, 173,344.54 and 32,457 is: 48,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,563 : 173,344.54 = 32,457 : x
  2. Step 2: Convert to fraction form
    115,563/173,344.54 = 32,457/x
  3. Step 3: Cross multiply
    115,563x = 173,344.54 × 32,457
  4. Step 4: Simplify right side
    115,563x = 5,626,243,734.78
  5. Step 5: Solve for x
    x = 5,626,243,734.78/115,563
  6. Step 6: Final answer
    x = 48,685.51

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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.