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Finding the Fourth Proportional to 31,503.40, 47,246.90 and 14,859.05

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Solution

The fourth proportional to 31,503.40, 47,246.90 and 14,859.05 is: 22,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.40 : 47,246.90 = 14,859.05 : x
  2. Step 2: Convert to fraction form
    31,503.40/47,246.90 = 14,859.05/x
  3. Step 3: Cross multiply
    31,503.40x = 47,246.90 × 14,859.05
  4. Step 4: Simplify right side
    31,503.40x = 702,043,738.92
  5. Step 5: Solve for x
    x = 702,043,738.92/31,503.40
  6. Step 6: Final answer
    x = 22,284.70

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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.