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Finding the Fourth Proportional to 42,284.84, 63,425.08 and 14,205.12

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Solution

The fourth proportional to 42,284.84, 63,425.08 and 14,205.12 is: 21,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284.84 : 63,425.08 = 14,205.12 : x
  2. Step 2: Convert to fraction form
    42,284.84/63,425.08 = 14,205.12/x
  3. Step 3: Cross multiply
    42,284.84x = 63,425.08 × 14,205.12
  4. Step 4: Simplify right side
    42,284.84x = 900,960,929.18
  5. Step 5: Solve for x
    x = 900,960,929.18/42,284.84
  6. Step 6: Final answer
    x = 21,306.95

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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.