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Finding the Fourth Proportional to 30,862.84, 46,296.66 and 10,088.44

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Solution

The fourth proportional to 30,862.84, 46,296.66 and 10,088.44 is: 15,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.84 : 46,296.66 = 10,088.44 : x
  2. Step 2: Convert to fraction form
    30,862.84/46,296.66 = 10,088.44/x
  3. Step 3: Cross multiply
    30,862.84x = 46,296.66 × 10,088.44
  4. Step 4: Simplify right side
    30,862.84x = 467,061,076.61
  5. Step 5: Solve for x
    x = 467,061,076.61/30,862.84
  6. Step 6: Final answer
    x = 15,133.44

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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.