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Finding the Fourth Proportional to 52,373, 78,571.80 and 17,312.65

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Solution

The fourth proportional to 52,373, 78,571.80 and 17,312.65 is: 25,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,373 : 78,571.80 = 17,312.65 : x
  2. Step 2: Convert to fraction form
    52,373/78,571.80 = 17,312.65/x
  3. Step 3: Cross multiply
    52,373x = 78,571.80 × 17,312.65
  4. Step 4: Simplify right side
    52,373x = 1,360,286,073.27
  5. Step 5: Solve for x
    x = 1,360,286,073.27/52,373
  6. Step 6: Final answer
    x = 25,973.04

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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.