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Finding the Fourth Proportional to 52,223.04, 78,339.04 and 14,783.36

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Solution

The fourth proportional to 52,223.04, 78,339.04 and 14,783.36 is: 22,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,223.04 : 78,339.04 = 14,783.36 : x
  2. Step 2: Convert to fraction form
    52,223.04/78,339.04 = 14,783.36/x
  3. Step 3: Cross multiply
    52,223.04x = 78,339.04 × 14,783.36
  4. Step 4: Simplify right side
    52,223.04x = 1,158,114,230.37
  5. Step 5: Solve for x
    x = 1,158,114,230.37/52,223.04
  6. Step 6: Final answer
    x = 22,176.31

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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.