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Finding the Fourth Proportional to 35,607, 53,419.14 and 10,983

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Solution

The fourth proportional to 35,607, 53,419.14 and 10,983 is: 16,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,607 : 53,419.14 = 10,983 : x
  2. Step 2: Convert to fraction form
    35,607/53,419.14 = 10,983/x
  3. Step 3: Cross multiply
    35,607x = 53,419.14 × 10,983
  4. Step 4: Simplify right side
    35,607x = 586,702,414.62
  5. Step 5: Solve for x
    x = 586,702,414.62/35,607
  6. Step 6: Final answer
    x = 16,477.17

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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.