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Finding the Fourth Proportional to 35,978.46, 53,935.02 and 12,592.14

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Solution

The fourth proportional to 35,978.46, 53,935.02 and 12,592.14 is: 18,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.46 : 53,935.02 = 12,592.14 : x
  2. Step 2: Convert to fraction form
    35,978.46/53,935.02 = 12,592.14/x
  3. Step 3: Cross multiply
    35,978.46x = 53,935.02 × 12,592.14
  4. Step 4: Simplify right side
    35,978.46x = 679,157,322.74
  5. Step 5: Solve for x
    x = 679,157,322.74/35,978.46
  6. Step 6: Final answer
    x = 18,876.78

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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.