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Finding the Fourth Proportional to 35,598, 53,401.32 and 10,974

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Solution

The fourth proportional to 35,598, 53,401.32 and 10,974 is: 16,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,598 : 53,401.32 = 10,974 : x
  2. Step 2: Convert to fraction form
    35,598/53,401.32 = 10,974/x
  3. Step 3: Cross multiply
    35,598x = 53,401.32 × 10,974
  4. Step 4: Simplify right side
    35,598x = 586,026,085.68
  5. Step 5: Solve for x
    x = 586,026,085.68/35,598
  6. Step 6: Final answer
    x = 16,462.33

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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.