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Finding the Fourth Proportional to 31,242.14, 46,862.79 and 7,549.50

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Solution

The fourth proportional to 31,242.14, 46,862.79 and 7,549.50 is: 11,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.14 : 46,862.79 = 7,549.50 : x
  2. Step 2: Convert to fraction form
    31,242.14/46,862.79 = 7,549.50/x
  3. Step 3: Cross multiply
    31,242.14x = 46,862.79 × 7,549.50
  4. Step 4: Simplify right side
    31,242.14x = 353,790,633.11
  5. Step 5: Solve for x
    x = 353,790,633.11/31,242.14
  6. Step 6: Final answer
    x = 11,324.15

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1.5x scale

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.