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Finding the Fourth Proportional to 31,710.69, 47,511.12 and 16,695.60

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Solution

The fourth proportional to 31,710.69, 47,511.12 and 16,695.60 is: 25,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.69 : 47,511.12 = 16,695.60 : x
  2. Step 2: Convert to fraction form
    31,710.69/47,511.12 = 16,695.60/x
  3. Step 3: Cross multiply
    31,710.69x = 47,511.12 × 16,695.60
  4. Step 4: Simplify right side
    31,710.69x = 793,226,655.07
  5. Step 5: Solve for x
    x = 793,226,655.07/31,710.69
  6. Step 6: Final answer
    x = 25,014.49

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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.