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Finding the Fourth Proportional to 46,801.60, 70,180.80 and 20,492.80

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Solution

The fourth proportional to 46,801.60, 70,180.80 and 20,492.80 is: 30,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,801.60 : 70,180.80 = 20,492.80 : x
  2. Step 2: Convert to fraction form
    46,801.60/70,180.80 = 20,492.80/x
  3. Step 3: Cross multiply
    46,801.60x = 70,180.80 × 20,492.80
  4. Step 4: Simplify right side
    46,801.60x = 1,438,201,098.24
  5. Step 5: Solve for x
    x = 1,438,201,098.24/46,801.60
  6. Step 6: Final answer
    x = 30,729.74

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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.