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Finding the Fourth Proportional to 46,654.65, 69,991.29 and 13,374.99

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Solution

The fourth proportional to 46,654.65, 69,991.29 and 13,374.99 is: 20,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,654.65 : 69,991.29 = 13,374.99 : x
  2. Step 2: Convert to fraction form
    46,654.65/69,991.29 = 13,374.99/x
  3. Step 3: Cross multiply
    46,654.65x = 69,991.29 × 13,374.99
  4. Step 4: Simplify right side
    46,654.65x = 936,132,803.84
  5. Step 5: Solve for x
    x = 936,132,803.84/46,654.65
  6. Step 6: Final answer
    x = 20,065.16

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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.