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Finding the Fourth Proportional to 30,783.84, 42,465.04 and 20,592.48

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Solution

The fourth proportional to 30,783.84, 42,465.04 and 20,592.48 is: 28,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.84 : 42,465.04 = 20,592.48 : x
  2. Step 2: Convert to fraction form
    30,783.84/42,465.04 = 20,592.48/x
  3. Step 3: Cross multiply
    30,783.84x = 42,465.04 × 20,592.48
  4. Step 4: Simplify right side
    30,783.84x = 874,460,486.90
  5. Step 5: Solve for x
    x = 874,460,486.90/30,783.84
  6. Step 6: Final answer
    x = 28,406.48

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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.