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Finding the Fourth Proportional to 35,673.74, 53,506.36 and 9,380.53

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Solution

The fourth proportional to 35,673.74, 53,506.36 and 9,380.53 is: 14,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673.74 : 53,506.36 = 9,380.53 : x
  2. Step 2: Convert to fraction form
    35,673.74/53,506.36 = 9,380.53/x
  3. Step 3: Cross multiply
    35,673.74x = 53,506.36 × 9,380.53
  4. Step 4: Simplify right side
    35,673.74x = 501,918,015.17
  5. Step 5: Solve for x
    x = 501,918,015.17/35,673.74
  6. Step 6: Final answer
    x = 14,069.68

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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.