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Finding the Fourth Proportional to 121,045.52, 181,568.28 and 37,946

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Solution

The fourth proportional to 121,045.52, 181,568.28 and 37,946 is: 56,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,045.52 : 181,568.28 = 37,946 : x
  2. Step 2: Convert to fraction form
    121,045.52/181,568.28 = 37,946/x
  3. Step 3: Cross multiply
    121,045.52x = 181,568.28 × 37,946
  4. Step 4: Simplify right side
    121,045.52x = 6,889,789,952.88
  5. Step 5: Solve for x
    x = 6,889,789,952.88/121,045.52
  6. Step 6: Final answer
    x = 56,919

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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.