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Finding the Fourth Proportional to 30,875.81, 42,623.33 and 20,684.39

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Solution

The fourth proportional to 30,875.81, 42,623.33 and 20,684.39 is: 28,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.81 : 42,623.33 = 20,684.39 : x
  2. Step 2: Convert to fraction form
    30,875.81/42,623.33 = 20,684.39/x
  3. Step 3: Cross multiply
    30,875.81x = 42,623.33 × 20,684.39
  4. Step 4: Simplify right side
    30,875.81x = 881,637,264.28
  5. Step 5: Solve for x
    x = 881,637,264.28/30,875.81
  6. Step 6: Final answer
    x = 28,554.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.