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Finding the Fourth Proportional to 35,319.36, 52,978.68 and 10,695.36

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Solution

The fourth proportional to 35,319.36, 52,978.68 and 10,695.36 is: 16,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,319.36 : 52,978.68 = 10,695.36 : x
  2. Step 2: Convert to fraction form
    35,319.36/52,978.68 = 10,695.36/x
  3. Step 3: Cross multiply
    35,319.36x = 52,978.68 × 10,695.36
  4. Step 4: Simplify right side
    35,319.36x = 566,626,054.92
  5. Step 5: Solve for x
    x = 566,626,054.92/35,319.36
  6. Step 6: Final answer
    x = 16,042.93

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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.