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Finding the Fourth Proportional to 51,547, 71,135.01 and 30,049.51

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Solution

The fourth proportional to 51,547, 71,135.01 and 30,049.51 is: 41,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,547 : 71,135.01 = 30,049.51 : x
  2. Step 2: Convert to fraction form
    51,547/71,135.01 = 30,049.51/x
  3. Step 3: Cross multiply
    51,547x = 71,135.01 × 30,049.51
  4. Step 4: Simplify right side
    51,547x = 2,137,572,194.35
  5. Step 5: Solve for x
    x = 2,137,572,194.35/51,547
  6. Step 6: Final answer
    x = 41,468.41

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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.