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Finding the Fourth Proportional to 46,980.91, 70,463.86 and 13,693.19

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Solution

The fourth proportional to 46,980.91, 70,463.86 and 13,693.19 is: 20,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980.91 : 70,463.86 = 13,693.19 : x
  2. Step 2: Convert to fraction form
    46,980.91/70,463.86 = 13,693.19/x
  3. Step 3: Cross multiply
    46,980.91x = 70,463.86 × 13,693.19
  4. Step 4: Simplify right side
    46,980.91x = 964,874,636.56
  5. Step 5: Solve for x
    x = 964,874,636.56/46,980.91
  6. Step 6: Final answer
    x = 20,537.59

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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.