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Finding the Fourth Proportional to 38,433.30, 53,031.15 and 21,666.30

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Solution

The fourth proportional to 38,433.30, 53,031.15 and 21,666.30 is: 29,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433.30 : 53,031.15 = 21,666.30 : x
  2. Step 2: Convert to fraction form
    38,433.30/53,031.15 = 21,666.30/x
  3. Step 3: Cross multiply
    38,433.30x = 53,031.15 × 21,666.30
  4. Step 4: Simplify right side
    38,433.30x = 1,148,988,805.25
  5. Step 5: Solve for x
    x = 1,148,988,805.25/38,433.30
  6. Step 6: Final answer
    x = 29,895.66

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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.