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Finding the Fourth Proportional to 52,416, 78,667.74 and 24,714

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Solution

The fourth proportional to 52,416, 78,667.74 and 24,714 is: 37,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416 : 78,667.74 = 24,714 : x
  2. Step 2: Convert to fraction form
    52,416/78,667.74 = 24,714/x
  3. Step 3: Cross multiply
    52,416x = 78,667.74 × 24,714
  4. Step 4: Simplify right side
    52,416x = 1,944,194,526.36
  5. Step 5: Solve for x
    x = 1,944,194,526.36/52,416
  6. Step 6: Final answer
    x = 37,091.62

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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.