Home / 31,302.87-46,962-9,116.45

Finding the Fourth Proportional to 31,302.87, 46,962 and 9,116.45

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Solution

The fourth proportional to 31,302.87, 46,962 and 9,116.45 is: 13,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.87 : 46,962 = 9,116.45 : x
  2. Step 2: Convert to fraction form
    31,302.87/46,962 = 9,116.45/x
  3. Step 3: Cross multiply
    31,302.87x = 46,962 × 9,116.45
  4. Step 4: Simplify right side
    31,302.87x = 428,126,666.20
  5. Step 5: Solve for x
    x = 428,126,666.20/31,302.87
  6. Step 6: Final answer
    x = 13,676.92

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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.