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Finding the Fourth Proportional to 30,477.71, 42,057.26 and 17,046.64

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Solution

The fourth proportional to 30,477.71, 42,057.26 and 17,046.64 is: 23,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.71 : 42,057.26 = 17,046.64 : x
  2. Step 2: Convert to fraction form
    30,477.71/42,057.26 = 17,046.64/x
  3. Step 3: Cross multiply
    30,477.71x = 42,057.26 × 17,046.64
  4. Step 4: Simplify right side
    30,477.71x = 716,934,970.61
  5. Step 5: Solve for x
    x = 716,934,970.61/30,477.71
  6. Step 6: Final answer
    x = 23,523.26

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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.