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Finding the Fourth Proportional to 31,323.28, 46,973.64 and 9,132.24

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Solution

The fourth proportional to 31,323.28, 46,973.64 and 9,132.24 is: 13,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323.28 : 46,973.64 = 9,132.24 : x
  2. Step 2: Convert to fraction form
    31,323.28/46,973.64 = 9,132.24/x
  3. Step 3: Cross multiply
    31,323.28x = 46,973.64 × 9,132.24
  4. Step 4: Simplify right side
    31,323.28x = 428,974,554.15
  5. Step 5: Solve for x
    x = 428,974,554.15/31,323.28
  6. Step 6: Final answer
    x = 13,695.07

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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.