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Finding the Fourth Proportional to 31,152.56, 46,722.56 and 11,424.40

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Solution

The fourth proportional to 31,152.56, 46,722.56 and 11,424.40 is: 17,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.56 : 46,722.56 = 11,424.40 : x
  2. Step 2: Convert to fraction form
    31,152.56/46,722.56 = 11,424.40/x
  3. Step 3: Cross multiply
    31,152.56x = 46,722.56 × 11,424.40
  4. Step 4: Simplify right side
    31,152.56x = 533,777,214.46
  5. Step 5: Solve for x
    x = 533,777,214.46/31,152.56
  6. Step 6: Final answer
    x = 17,134.30

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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.