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Finding the Fourth Proportional to 34,978.03, 52,423.13 and 14,964.03

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Solution

The fourth proportional to 34,978.03, 52,423.13 and 14,964.03 is: 22,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.03 : 52,423.13 = 14,964.03 : x
  2. Step 2: Convert to fraction form
    34,978.03/52,423.13 = 14,964.03/x
  3. Step 3: Cross multiply
    34,978.03x = 52,423.13 × 14,964.03
  4. Step 4: Simplify right side
    34,978.03x = 784,461,327.42
  5. Step 5: Solve for x
    x = 784,461,327.42/34,978.03
  6. Step 6: Final answer
    x = 22,427.26

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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.