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Finding the Fourth Proportional to 35,996.96, 53,996.80 and 13,812.58

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Solution

The fourth proportional to 35,996.96, 53,996.80 and 13,812.58 is: 20,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996.96 : 53,996.80 = 13,812.58 : x
  2. Step 2: Convert to fraction form
    35,996.96/53,996.80 = 13,812.58/x
  3. Step 3: Cross multiply
    35,996.96x = 53,996.80 × 13,812.58
  4. Step 4: Simplify right side
    35,996.96x = 745,834,849.76
  5. Step 5: Solve for x
    x = 745,834,849.76/35,996.96
  6. Step 6: Final answer
    x = 20,719.39

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1.5x scale

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.