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Finding the Fourth Proportional to 46,806.41, 70,209.71 and 13,529.15

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Solution

The fourth proportional to 46,806.41, 70,209.71 and 13,529.15 is: 20,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806.41 : 70,209.71 = 13,529.15 : x
  2. Step 2: Convert to fraction form
    46,806.41/70,209.71 = 13,529.15/x
  3. Step 3: Cross multiply
    46,806.41x = 70,209.71 × 13,529.15
  4. Step 4: Simplify right side
    46,806.41x = 949,877,279.35
  5. Step 5: Solve for x
    x = 949,877,279.35/46,806.41
  6. Step 6: Final answer
    x = 20,293.75

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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.