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Finding the Fourth Proportional to 65,477.57, 98,124.01 and 29,851.34

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Solution

The fourth proportional to 65,477.57, 98,124.01 and 29,851.34 is: 44,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,477.57 : 98,124.01 = 29,851.34 : x
  2. Step 2: Convert to fraction form
    65,477.57/98,124.01 = 29,851.34/x
  3. Step 3: Cross multiply
    65,477.57x = 98,124.01 × 29,851.34
  4. Step 4: Simplify right side
    65,477.57x = 2,929,132,619.43
  5. Step 5: Solve for x
    x = 2,929,132,619.43/65,477.57
  6. Step 6: Final answer
    x = 44,734.90

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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.