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Finding the Fourth Proportional to 40,827.40, 61,142.28 and 20,784.28

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Solution

The fourth proportional to 40,827.40, 61,142.28 and 20,784.28 is: 31,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,827.40 : 61,142.28 = 20,784.28 : x
  2. Step 2: Convert to fraction form
    40,827.40/61,142.28 = 20,784.28/x
  3. Step 3: Cross multiply
    40,827.40x = 61,142.28 × 20,784.28
  4. Step 4: Simplify right side
    40,827.40x = 1,270,798,267.36
  5. Step 5: Solve for x
    x = 1,270,798,267.36/40,827.40
  6. Step 6: Final answer
    x = 31,126.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.