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Finding the Fourth Proportional to 52,271.43, 78,412.00 and 14,832.42

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Solution

The fourth proportional to 52,271.43, 78,412.00 and 14,832.42 is: 22,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,271.43 : 78,412.00 = 14,832.42 : x
  2. Step 2: Convert to fraction form
    52,271.43/78,412.00 = 14,832.42/x
  3. Step 3: Cross multiply
    52,271.43x = 78,412.00 × 14,832.42
  4. Step 4: Simplify right side
    52,271.43x = 1,163,039,250.82
  5. Step 5: Solve for x
    x = 1,163,039,250.82/52,271.43
  6. Step 6: Final answer
    x = 22,250.00

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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.