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Finding the Fourth Proportional to 30,946.48, 42,705.46 and 16,799.32

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Solution

The fourth proportional to 30,946.48, 42,705.46 and 16,799.32 is: 23,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.48 : 42,705.46 = 16,799.32 : x
  2. Step 2: Convert to fraction form
    30,946.48/42,705.46 = 16,799.32/x
  3. Step 3: Cross multiply
    30,946.48x = 42,705.46 × 16,799.32
  4. Step 4: Simplify right side
    30,946.48x = 717,422,688.29
  5. Step 5: Solve for x
    x = 717,422,688.29/30,946.48
  6. Step 6: Final answer
    x = 23,182.69

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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.