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Finding the Fourth Proportional to 30,253.64, 41,706.74 and 20,178.40

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Solution

The fourth proportional to 30,253.64, 41,706.74 and 20,178.40 is: 27,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.64 : 41,706.74 = 20,178.40 : x
  2. Step 2: Convert to fraction form
    30,253.64/41,706.74 = 20,178.40/x
  3. Step 3: Cross multiply
    30,253.64x = 41,706.74 × 20,178.40
  4. Step 4: Simplify right side
    30,253.64x = 841,575,077.26
  5. Step 5: Solve for x
    x = 841,575,077.26/30,253.64
  6. Step 6: Final answer
    x = 27,817.32

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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.