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Finding the Fourth Proportional to 35,010, 48,313.80 and 20,106

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Solution

The fourth proportional to 35,010, 48,313.80 and 20,106 is: 27,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,010 : 48,313.80 = 20,106 : x
  2. Step 2: Convert to fraction form
    35,010/48,313.80 = 20,106/x
  3. Step 3: Cross multiply
    35,010x = 48,313.80 × 20,106
  4. Step 4: Simplify right side
    35,010x = 971,397,262.80
  5. Step 5: Solve for x
    x = 971,397,262.80/35,010
  6. Step 6: Final answer
    x = 27,746.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.