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Finding the Fourth Proportional to 31,023, 46,543.68 and 17,884.80

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Solution

The fourth proportional to 31,023, 46,543.68 and 17,884.80 is: 26,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023 : 46,543.68 = 17,884.80 : x
  2. Step 2: Convert to fraction form
    31,023/46,543.68 = 17,884.80/x
  3. Step 3: Cross multiply
    31,023x = 46,543.68 × 17,884.80
  4. Step 4: Simplify right side
    31,023x = 832,424,408.06
  5. Step 5: Solve for x
    x = 832,424,408.06/31,023
  6. Step 6: Final answer
    x = 26,832.49

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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.