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Finding the Fourth Proportional to 29,614, 44,442.84 and 14,031.64

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Solution

The fourth proportional to 29,614, 44,442.84 and 14,031.64 is: 21,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614 : 44,442.84 = 14,031.64 : x
  2. Step 2: Convert to fraction form
    29,614/44,442.84 = 14,031.64/x
  3. Step 3: Cross multiply
    29,614x = 44,442.84 × 14,031.64
  4. Step 4: Simplify right side
    29,614x = 623,605,931.46
  5. Step 5: Solve for x
    x = 623,605,931.46/29,614
  6. Step 6: Final answer
    x = 21,057.81

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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.