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Finding the Fourth Proportional to 30,617.46, 45,883.40 and 16,547.14

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Solution

The fourth proportional to 30,617.46, 45,883.40 and 16,547.14 is: 24,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.46 : 45,883.40 = 16,547.14 : x
  2. Step 2: Convert to fraction form
    30,617.46/45,883.40 = 16,547.14/x
  3. Step 3: Cross multiply
    30,617.46x = 45,883.40 × 16,547.14
  4. Step 4: Simplify right side
    30,617.46x = 759,239,043.48
  5. Step 5: Solve for x
    x = 759,239,043.48/30,617.46
  6. Step 6: Final answer
    x = 24,797.58

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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.