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Finding the Fourth Proportional to 35,012, 52,518.02 and 11,638.48

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Solution

The fourth proportional to 35,012, 52,518.02 and 11,638.48 is: 17,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,012 : 52,518.02 = 11,638.48 : x
  2. Step 2: Convert to fraction form
    35,012/52,518.02 = 11,638.48/x
  3. Step 3: Cross multiply
    35,012x = 52,518.02 × 11,638.48
  4. Step 4: Simplify right side
    35,012x = 611,229,925.41
  5. Step 5: Solve for x
    x = 611,229,925.41/35,012
  6. Step 6: Final answer
    x = 17,457.73

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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.