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Finding the Fourth Proportional to 52,509.68, 78,774.48 and 16,980.56

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Solution

The fourth proportional to 52,509.68, 78,774.48 and 16,980.56 is: 25,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.68 : 78,774.48 = 16,980.56 : x
  2. Step 2: Convert to fraction form
    52,509.68/78,774.48 = 16,980.56/x
  3. Step 3: Cross multiply
    52,509.68x = 78,774.48 × 16,980.56
  4. Step 4: Simplify right side
    52,509.68x = 1,337,634,784.11
  5. Step 5: Solve for x
    x = 1,337,634,784.11/52,509.68
  6. Step 6: Final answer
    x = 25,474.06

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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.