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Finding the Fourth Proportional to 52,864.04, 72,952.04 and 30,209.96

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Solution

The fourth proportional to 52,864.04, 72,952.04 and 30,209.96 is: 41,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,864.04 : 72,952.04 = 30,209.96 : x
  2. Step 2: Convert to fraction form
    52,864.04/72,952.04 = 30,209.96/x
  3. Step 3: Cross multiply
    52,864.04x = 72,952.04 × 30,209.96
  4. Step 4: Simplify right side
    52,864.04x = 2,203,878,468.22
  5. Step 5: Solve for x
    x = 2,203,878,468.22/52,864.04
  6. Step 6: Final answer
    x = 41,689.56

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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.