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Finding the Fourth Proportional to 30,953.34, 42,693.75 and 19,023.39

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Solution

The fourth proportional to 30,953.34, 42,693.75 and 19,023.39 is: 26,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.34 : 42,693.75 = 19,023.39 : x
  2. Step 2: Convert to fraction form
    30,953.34/42,693.75 = 19,023.39/x
  3. Step 3: Cross multiply
    30,953.34x = 42,693.75 × 19,023.39
  4. Step 4: Simplify right side
    30,953.34x = 812,179,856.81
  5. Step 5: Solve for x
    x = 812,179,856.81/30,953.34
  6. Step 6: Final answer
    x = 26,238.84

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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.