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Finding the Fourth Proportional to 30,764.43, 42,455.70 and 17,336.16

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Solution

The fourth proportional to 30,764.43, 42,455.70 and 17,336.16 is: 23,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.43 : 42,455.70 = 17,336.16 : x
  2. Step 2: Convert to fraction form
    30,764.43/42,455.70 = 17,336.16/x
  3. Step 3: Cross multiply
    30,764.43x = 42,455.70 × 17,336.16
  4. Step 4: Simplify right side
    30,764.43x = 736,018,808.11
  5. Step 5: Solve for x
    x = 736,018,808.11/30,764.43
  6. Step 6: Final answer
    x = 23,924.34

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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.