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Finding the Fourth Proportional to 35,319.81, 52,978.08 and 11,946.45

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Solution

The fourth proportional to 35,319.81, 52,978.08 and 11,946.45 is: 17,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,319.81 : 52,978.08 = 11,946.45 : x
  2. Step 2: Convert to fraction form
    35,319.81/52,978.08 = 11,946.45/x
  3. Step 3: Cross multiply
    35,319.81x = 52,978.08 × 11,946.45
  4. Step 4: Simplify right side
    35,319.81x = 632,899,983.82
  5. Step 5: Solve for x
    x = 632,899,983.82/35,319.81
  6. Step 6: Final answer
    x = 17,919.12

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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.