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Finding the Fourth Proportional to 35,746.72, 53,629.08 and 20,968

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Solution

The fourth proportional to 35,746.72, 53,629.08 and 20,968 is: 31,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746.72 : 53,629.08 = 20,968 : x
  2. Step 2: Convert to fraction form
    35,746.72/53,629.08 = 20,968/x
  3. Step 3: Cross multiply
    35,746.72x = 53,629.08 × 20,968
  4. Step 4: Simplify right side
    35,746.72x = 1,124,494,549.44
  5. Step 5: Solve for x
    x = 1,124,494,549.44/35,746.72
  6. Step 6: Final answer
    x = 31,457.28

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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.