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Finding the Fourth Proportional to 52,634.60, 72,661.02 and 31,128.04

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Solution

The fourth proportional to 52,634.60, 72,661.02 and 31,128.04 is: 42,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,634.60 : 72,661.02 = 31,128.04 : x
  2. Step 2: Convert to fraction form
    52,634.60/72,661.02 = 31,128.04/x
  3. Step 3: Cross multiply
    52,634.60x = 72,661.02 × 31,128.04
  4. Step 4: Simplify right side
    52,634.60x = 2,261,795,137.00
  5. Step 5: Solve for x
    x = 2,261,795,137.00/52,634.60
  6. Step 6: Final answer
    x = 42,971.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.