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Finding the Fourth Proportional to 46,720.60, 70,059.30 and 20,411.80

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Solution

The fourth proportional to 46,720.60, 70,059.30 and 20,411.80 is: 30,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,720.60 : 70,059.30 = 20,411.80 : x
  2. Step 2: Convert to fraction form
    46,720.60/70,059.30 = 20,411.80/x
  3. Step 3: Cross multiply
    46,720.60x = 70,059.30 × 20,411.80
  4. Step 4: Simplify right side
    46,720.60x = 1,430,036,419.74
  5. Step 5: Solve for x
    x = 1,430,036,419.74/46,720.60
  6. Step 6: Final answer
    x = 30,608.26

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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.