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Finding the Fourth Proportional to 46,294.40, 69,430.77 and 13,017.65

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Solution

The fourth proportional to 46,294.40, 69,430.77 and 13,017.65 is: 19,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,294.40 : 69,430.77 = 13,017.65 : x
  2. Step 2: Convert to fraction form
    46,294.40/69,430.77 = 13,017.65/x
  3. Step 3: Cross multiply
    46,294.40x = 69,430.77 × 13,017.65
  4. Step 4: Simplify right side
    46,294.40x = 903,825,463.09
  5. Step 5: Solve for x
    x = 903,825,463.09/46,294.40
  6. Step 6: Final answer
    x = 19,523.43

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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.