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Finding the Fourth Proportional to 46,680, 70,020 and 13,848

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Solution

The fourth proportional to 46,680, 70,020 and 13,848 is: 20,772

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,680 : 70,020 = 13,848 : x
  2. Step 2: Convert to fraction form
    46,680/70,020 = 13,848/x
  3. Step 3: Cross multiply
    46,680x = 70,020 × 13,848
  4. Step 4: Simplify right side
    46,680x = 969,636,960
  5. Step 5: Solve for x
    x = 969,636,960/46,680
  6. Step 6: Final answer
    x = 20,772

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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.