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Finding the Fourth Proportional to 52,573.64, 78,855.12 and 17,509.52

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Solution

The fourth proportional to 52,573.64, 78,855.12 and 17,509.52 is: 26,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,573.64 : 78,855.12 = 17,509.52 : x
  2. Step 2: Convert to fraction form
    52,573.64/78,855.12 = 17,509.52/x
  3. Step 3: Cross multiply
    52,573.64x = 78,855.12 × 17,509.52
  4. Step 4: Simplify right side
    52,573.64x = 1,380,715,300.74
  5. Step 5: Solve for x
    x = 1,380,715,300.74/52,573.64
  6. Step 6: Final answer
    x = 26,262.50

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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.