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Finding the Fourth Proportional to 52,520, 78,780 and 15,584

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Solution

The fourth proportional to 52,520, 78,780 and 15,584 is: 23,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,520 : 78,780 = 15,584 : x
  2. Step 2: Convert to fraction form
    52,520/78,780 = 15,584/x
  3. Step 3: Cross multiply
    52,520x = 78,780 × 15,584
  4. Step 4: Simplify right side
    52,520x = 1,227,707,520
  5. Step 5: Solve for x
    x = 1,227,707,520/52,520
  6. Step 6: Final answer
    x = 23,376

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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.