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Finding the Fourth Proportional to 30,362.01, 41,899.14 and 17,614.23

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Solution

The fourth proportional to 30,362.01, 41,899.14 and 17,614.23 is: 24,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362.01 : 41,899.14 = 17,614.23 : x
  2. Step 2: Convert to fraction form
    30,362.01/41,899.14 = 17,614.23/x
  3. Step 3: Cross multiply
    30,362.01x = 41,899.14 × 17,614.23
  4. Step 4: Simplify right side
    30,362.01x = 738,021,088.76
  5. Step 5: Solve for x
    x = 738,021,088.76/30,362.01
  6. Step 6: Final answer
    x = 24,307.39

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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.