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Finding the Fourth Proportional to 56,724, 85,124.88 and 19,788

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Solution

The fourth proportional to 56,724, 85,124.88 and 19,788 is: 29,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,724 : 85,124.88 = 19,788 : x
  2. Step 2: Convert to fraction form
    56,724/85,124.88 = 19,788/x
  3. Step 3: Cross multiply
    56,724x = 85,124.88 × 19,788
  4. Step 4: Simplify right side
    56,724x = 1,684,451,125.44
  5. Step 5: Solve for x
    x = 1,684,451,125.44/56,724
  6. Step 6: Final answer
    x = 29,695.56

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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.