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Finding the Fourth Proportional to 39,497.84, 54,507.38 and 22,501.84

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Solution

The fourth proportional to 39,497.84, 54,507.38 and 22,501.84 is: 31,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,497.84 : 54,507.38 = 22,501.84 : x
  2. Step 2: Convert to fraction form
    39,497.84/54,507.38 = 22,501.84/x
  3. Step 3: Cross multiply
    39,497.84x = 54,507.38 × 22,501.84
  4. Step 4: Simplify right side
    39,497.84x = 1,226,516,343.58
  5. Step 5: Solve for x
    x = 1,226,516,343.58/39,497.84
  6. Step 6: Final answer
    x = 31,052.74

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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.