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Finding the Fourth Proportional to 30,875.34, 42,608.77 and 18,931.80

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Solution

The fourth proportional to 30,875.34, 42,608.77 and 18,931.80 is: 26,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.34 : 42,608.77 = 18,931.80 : x
  2. Step 2: Convert to fraction form
    30,875.34/42,608.77 = 18,931.80/x
  3. Step 3: Cross multiply
    30,875.34x = 42,608.77 × 18,931.80
  4. Step 4: Simplify right side
    30,875.34x = 806,660,711.89
  5. Step 5: Solve for x
    x = 806,660,711.89/30,875.34
  6. Step 6: Final answer
    x = 26,126.38

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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.