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Finding the Fourth Proportional to 52,859.25, 72,952.25 and 30,503.25

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Solution

The fourth proportional to 52,859.25, 72,952.25 and 30,503.25 is: 42,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,859.25 : 72,952.25 = 30,503.25 : x
  2. Step 2: Convert to fraction form
    52,859.25/72,952.25 = 30,503.25/x
  3. Step 3: Cross multiply
    52,859.25x = 72,952.25 × 30,503.25
  4. Step 4: Simplify right side
    52,859.25x = 2,225,280,567.30
  5. Step 5: Solve for x
    x = 2,225,280,567.30/52,859.25
  6. Step 6: Final answer
    x = 42,098.22

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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.