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Finding the Fourth Proportional to 30,275.64, 45,361.62 and 16,434.36

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Solution

The fourth proportional to 30,275.64, 45,361.62 and 16,434.36 is: 24,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.64 : 45,361.62 = 16,434.36 : x
  2. Step 2: Convert to fraction form
    30,275.64/45,361.62 = 16,434.36/x
  3. Step 3: Cross multiply
    30,275.64x = 45,361.62 × 16,434.36
  4. Step 4: Simplify right side
    30,275.64x = 745,489,193.26
  5. Step 5: Solve for x
    x = 745,489,193.26/30,275.64
  6. Step 6: Final answer
    x = 24,623.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.