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Finding the Fourth Proportional to 52,542, 72,498.04 and 31,323.24

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Solution

The fourth proportional to 52,542, 72,498.04 and 31,323.24 is: 43,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,542 : 72,498.04 = 31,323.24 : x
  2. Step 2: Convert to fraction form
    52,542/72,498.04 = 31,323.24/x
  3. Step 3: Cross multiply
    52,542x = 72,498.04 × 31,323.24
  4. Step 4: Simplify right side
    52,542x = 2,270,873,506.45
  5. Step 5: Solve for x
    x = 2,270,873,506.45/52,542
  6. Step 6: Final answer
    x = 43,220.16

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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.