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Finding the Fourth Proportional to 30,447, 45,663.48 and 11,720.88

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Solution

The fourth proportional to 30,447, 45,663.48 and 11,720.88 is: 17,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447 : 45,663.48 = 11,720.88 : x
  2. Step 2: Convert to fraction form
    30,447/45,663.48 = 11,720.88/x
  3. Step 3: Cross multiply
    30,447x = 45,663.48 × 11,720.88
  4. Step 4: Simplify right side
    30,447x = 535,216,169.46
  5. Step 5: Solve for x
    x = 535,216,169.46/30,447
  6. Step 6: Final answer
    x = 17,578.62

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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.