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Finding the Fourth Proportional to 52,393.44, 78,534 and 26,041.44

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Solution

The fourth proportional to 52,393.44, 78,534 and 26,041.44 is: 39,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,393.44 : 78,534 = 26,041.44 : x
  2. Step 2: Convert to fraction form
    52,393.44/78,534 = 26,041.44/x
  3. Step 3: Cross multiply
    52,393.44x = 78,534 × 26,041.44
  4. Step 4: Simplify right side
    52,393.44x = 2,045,138,448.96
  5. Step 5: Solve for x
    x = 2,045,138,448.96/52,393.44
  6. Step 6: Final answer
    x = 39,034.25

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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.