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Finding the Fourth Proportional to 29,225.60, 40,314.56 and 16,648

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Solution

The fourth proportional to 29,225.60, 40,314.56 and 16,648 is: 22,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,225.60 : 40,314.56 = 16,648 : x
  2. Step 2: Convert to fraction form
    29,225.60/40,314.56 = 16,648/x
  3. Step 3: Cross multiply
    29,225.60x = 40,314.56 × 16,648
  4. Step 4: Simplify right side
    29,225.60x = 671,156,794.88
  5. Step 5: Solve for x
    x = 671,156,794.88/29,225.60
  6. Step 6: Final answer
    x = 22,964.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.