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Finding the Fourth Proportional to 35,983, 53,983.14 and 11,359

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Solution

The fourth proportional to 35,983, 53,983.14 and 11,359 is: 17,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983 : 53,983.14 = 11,359 : x
  2. Step 2: Convert to fraction form
    35,983/53,983.14 = 11,359/x
  3. Step 3: Cross multiply
    35,983x = 53,983.14 × 11,359
  4. Step 4: Simplify right side
    35,983x = 613,194,487.26
  5. Step 5: Solve for x
    x = 613,194,487.26/35,983
  6. Step 6: Final answer
    x = 17,041.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.