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Finding the Fourth Proportional to 30,696, 42,360.48 and 17,448

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Solution

The fourth proportional to 30,696, 42,360.48 and 17,448 is: 24,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696 : 42,360.48 = 17,448 : x
  2. Step 2: Convert to fraction form
    30,696/42,360.48 = 17,448/x
  3. Step 3: Cross multiply
    30,696x = 42,360.48 × 17,448
  4. Step 4: Simplify right side
    30,696x = 739,105,655.04
  5. Step 5: Solve for x
    x = 739,105,655.04/30,696
  6. Step 6: Final answer
    x = 24,078.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.