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Finding the Fourth Proportional to 31,320.88, 46,980.39 and 11,599

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Solution

The fourth proportional to 31,320.88, 46,980.39 and 11,599 is: 17,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320.88 : 46,980.39 = 11,599 : x
  2. Step 2: Convert to fraction form
    31,320.88/46,980.39 = 11,599/x
  3. Step 3: Cross multiply
    31,320.88x = 46,980.39 × 11,599
  4. Step 4: Simplify right side
    31,320.88x = 544,925,543.61
  5. Step 5: Solve for x
    x = 544,925,543.61/31,320.88
  6. Step 6: Final answer
    x = 17,398.16

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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.