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Finding the Fourth Proportional to 55,402.84, 76,456.20 and 30,252.34

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Solution

The fourth proportional to 55,402.84, 76,456.20 and 30,252.34 is: 41,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402.84 : 76,456.20 = 30,252.34 : x
  2. Step 2: Convert to fraction form
    55,402.84/76,456.20 = 30,252.34/x
  3. Step 3: Cross multiply
    55,402.84x = 76,456.20 × 30,252.34
  4. Step 4: Simplify right side
    55,402.84x = 2,312,978,957.51
  5. Step 5: Solve for x
    x = 2,312,978,957.51/55,402.84
  6. Step 6: Final answer
    x = 41,748.38

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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.