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Finding the Fourth Proportional to 46,806.60, 70,201.80 and 17,209.20

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Solution

The fourth proportional to 46,806.60, 70,201.80 and 17,209.20 is: 25,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806.60 : 70,201.80 = 17,209.20 : x
  2. Step 2: Convert to fraction form
    46,806.60/70,201.80 = 17,209.20/x
  3. Step 3: Cross multiply
    46,806.60x = 70,201.80 × 17,209.20
  4. Step 4: Simplify right side
    46,806.60x = 1,208,116,816.56
  5. Step 5: Solve for x
    x = 1,208,116,816.56/46,806.60
  6. Step 6: Final answer
    x = 25,810.82

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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.