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Finding the Fourth Proportional to 34,785.36, 52,178.40 and 14,004

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Solution

The fourth proportional to 34,785.36, 52,178.40 and 14,004 is: 21,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,785.36 : 52,178.40 = 14,004 : x
  2. Step 2: Convert to fraction form
    34,785.36/52,178.40 = 14,004/x
  3. Step 3: Cross multiply
    34,785.36x = 52,178.40 × 14,004
  4. Step 4: Simplify right side
    34,785.36x = 730,706,313.60
  5. Step 5: Solve for x
    x = 730,706,313.60/34,785.36
  6. Step 6: Final answer
    x = 21,006.14

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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.