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Finding the Fourth Proportional to 31,319.88, 46,978.89 and 11,598

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Solution

The fourth proportional to 31,319.88, 46,978.89 and 11,598 is: 17,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319.88 : 46,978.89 = 11,598 : x
  2. Step 2: Convert to fraction form
    31,319.88/46,978.89 = 11,598/x
  3. Step 3: Cross multiply
    31,319.88x = 46,978.89 × 11,598
  4. Step 4: Simplify right side
    31,319.88x = 544,861,166.22
  5. Step 5: Solve for x
    x = 544,861,166.22/31,319.88
  6. Step 6: Final answer
    x = 17,396.66

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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.