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Finding the Fourth Proportional to 61,284.40, 91,915.64 and 16,306

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Solution

The fourth proportional to 61,284.40, 91,915.64 and 16,306 is: 24,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,284.40 : 91,915.64 = 16,306 : x
  2. Step 2: Convert to fraction form
    61,284.40/91,915.64 = 16,306/x
  3. Step 3: Cross multiply
    61,284.40x = 91,915.64 × 16,306
  4. Step 4: Simplify right side
    61,284.40x = 1,498,776,425.84
  5. Step 5: Solve for x
    x = 1,498,776,425.84/61,284.40
  6. Step 6: Final answer
    x = 24,456.08

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Why These Related Problems?

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