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Finding the Fourth Proportional to 52,493.76, 78,723.63 and 17,424

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Solution

The fourth proportional to 52,493.76, 78,723.63 and 17,424 is: 26,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,493.76 : 78,723.63 = 17,424 : x
  2. Step 2: Convert to fraction form
    52,493.76/78,723.63 = 17,424/x
  3. Step 3: Cross multiply
    52,493.76x = 78,723.63 × 17,424
  4. Step 4: Simplify right side
    52,493.76x = 1,371,680,529.12
  5. Step 5: Solve for x
    x = 1,371,680,529.12/52,493.76
  6. Step 6: Final answer
    x = 26,130.35

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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.