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Finding the Fourth Proportional to 31,593.16, 43,598.40 and 17,446

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Solution

The fourth proportional to 31,593.16, 43,598.40 and 17,446 is: 24,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593.16 : 43,598.40 = 17,446 : x
  2. Step 2: Convert to fraction form
    31,593.16/43,598.40 = 17,446/x
  3. Step 3: Cross multiply
    31,593.16x = 43,598.40 × 17,446
  4. Step 4: Simplify right side
    31,593.16x = 760,617,686.40
  5. Step 5: Solve for x
    x = 760,617,686.40/31,593.16
  6. Step 6: Final answer
    x = 24,075.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.