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Finding the Fourth Proportional to 81,504.88, 122,263.80 and 34,758.16

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Solution

The fourth proportional to 81,504.88, 122,263.80 and 34,758.16 is: 52,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,504.88 : 122,263.80 = 34,758.16 : x
  2. Step 2: Convert to fraction form
    81,504.88/122,263.80 = 34,758.16/x
  3. Step 3: Cross multiply
    81,504.88x = 122,263.80 × 34,758.16
  4. Step 4: Simplify right side
    81,504.88x = 4,249,664,722.61
  5. Step 5: Solve for x
    x = 4,249,664,722.61/81,504.88
  6. Step 6: Final answer
    x = 52,140.00

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Why These Related Problems?

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