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Finding the Fourth Proportional to 47,663.52, 71,495.28 and 16,498.77

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Solution

The fourth proportional to 47,663.52, 71,495.28 and 16,498.77 is: 24,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,663.52 : 71,495.28 = 16,498.77 : x
  2. Step 2: Convert to fraction form
    47,663.52/71,495.28 = 16,498.77/x
  3. Step 3: Cross multiply
    47,663.52x = 71,495.28 × 16,498.77
  4. Step 4: Simplify right side
    47,663.52x = 1,179,584,180.81
  5. Step 5: Solve for x
    x = 1,179,584,180.81/47,663.52
  6. Step 6: Final answer
    x = 24,748.16

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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.