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Finding the Fourth Proportional to 30,810.39, 42,507.81 and 25,135.26

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Solution

The fourth proportional to 30,810.39, 42,507.81 and 25,135.26 is: 34,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810.39 : 42,507.81 = 25,135.26 : x
  2. Step 2: Convert to fraction form
    30,810.39/42,507.81 = 25,135.26/x
  3. Step 3: Cross multiply
    30,810.39x = 42,507.81 × 25,135.26
  4. Step 4: Simplify right side
    30,810.39x = 1,068,444,856.38
  5. Step 5: Solve for x
    x = 1,068,444,856.38/30,810.39
  6. Step 6: Final answer
    x = 34,678.07

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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.