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Finding the Fourth Proportional to 30,146.92, 41,602.54 and 16,718.16

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Solution

The fourth proportional to 30,146.92, 41,602.54 and 16,718.16 is: 23,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.92 : 41,602.54 = 16,718.16 : x
  2. Step 2: Convert to fraction form
    30,146.92/41,602.54 = 16,718.16/x
  3. Step 3: Cross multiply
    30,146.92x = 41,602.54 × 16,718.16
  4. Step 4: Simplify right side
    30,146.92x = 695,517,920.13
  5. Step 5: Solve for x
    x = 695,517,920.13/30,146.92
  6. Step 6: Final answer
    x = 23,070.94

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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.