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Finding the Fourth Proportional to 52,358.75, 78,570.93 and 21,194.00

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Solution

The fourth proportional to 52,358.75, 78,570.93 and 21,194.00 is: 31,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,358.75 : 78,570.93 = 21,194.00 : x
  2. Step 2: Convert to fraction form
    52,358.75/78,570.93 = 21,194.00/x
  3. Step 3: Cross multiply
    52,358.75x = 78,570.93 × 21,194.00
  4. Step 4: Simplify right side
    52,358.75x = 1,665,232,271.68
  5. Step 5: Solve for x
    x = 1,665,232,271.68/52,358.75
  6. Step 6: Final answer
    x = 31,804.28

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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.