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Finding the Fourth Proportional to 30,881.92, 42,616.80 and 18,312.64

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Solution

The fourth proportional to 30,881.92, 42,616.80 and 18,312.64 is: 25,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.92 : 42,616.80 = 18,312.64 : x
  2. Step 2: Convert to fraction form
    30,881.92/42,616.80 = 18,312.64/x
  3. Step 3: Cross multiply
    30,881.92x = 42,616.80 × 18,312.64
  4. Step 4: Simplify right side
    30,881.92x = 780,426,116.35
  5. Step 5: Solve for x
    x = 780,426,116.35/30,881.92
  6. Step 6: Final answer
    x = 25,271.30

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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.