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Finding the Fourth Proportional to 30,838.48, 46,272.06 and 9,781.84

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Solution

The fourth proportional to 30,838.48, 46,272.06 and 9,781.84 is: 14,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.48 : 46,272.06 = 9,781.84 : x
  2. Step 2: Convert to fraction form
    30,838.48/46,272.06 = 9,781.84/x
  3. Step 3: Cross multiply
    30,838.48x = 46,272.06 × 9,781.84
  4. Step 4: Simplify right side
    30,838.48x = 452,625,887.39
  5. Step 5: Solve for x
    x = 452,625,887.39/30,838.48
  6. Step 6: Final answer
    x = 14,677.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.