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Finding the Fourth Proportional to 37,133.64, 51,218.64 and 22,978.08

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Solution

The fourth proportional to 37,133.64, 51,218.64 and 22,978.08 is: 31,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133.64 : 51,218.64 = 22,978.08 : x
  2. Step 2: Convert to fraction form
    37,133.64/51,218.64 = 22,978.08/x
  3. Step 3: Cross multiply
    37,133.64x = 51,218.64 × 22,978.08
  4. Step 4: Simplify right side
    37,133.64x = 1,176,906,007.41
  5. Step 5: Solve for x
    x = 1,176,906,007.41/37,133.64
  6. Step 6: Final answer
    x = 31,693.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.