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Finding the Fourth Proportional to 35,358.24, 53,046 and 11,984.88

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Solution

The fourth proportional to 35,358.24, 53,046 and 11,984.88 is: 17,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,358.24 : 53,046 = 11,984.88 : x
  2. Step 2: Convert to fraction form
    35,358.24/53,046 = 11,984.88/x
  3. Step 3: Cross multiply
    35,358.24x = 53,046 × 11,984.88
  4. Step 4: Simplify right side
    35,358.24x = 635,749,944.48
  5. Step 5: Solve for x
    x = 635,749,944.48/35,358.24
  6. Step 6: Final answer
    x = 17,980.25

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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.