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Finding the Fourth Proportional to 52,501.80, 78,798.20 and 27,559.48

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Solution

The fourth proportional to 52,501.80, 78,798.20 and 27,559.48 is: 41,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,501.80 : 78,798.20 = 27,559.48 : x
  2. Step 2: Convert to fraction form
    52,501.80/78,798.20 = 27,559.48/x
  3. Step 3: Cross multiply
    52,501.80x = 78,798.20 × 27,559.48
  4. Step 4: Simplify right side
    52,501.80x = 2,171,637,416.94
  5. Step 5: Solve for x
    x = 2,171,637,416.94/52,501.80
  6. Step 6: Final answer
    x = 41,363.10

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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.