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Finding the Fourth Proportional to 43,322.42, 64,970.40 and 18,362

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Solution

The fourth proportional to 43,322.42, 64,970.40 and 18,362 is: 27,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,322.42 : 64,970.40 = 18,362 : x
  2. Step 2: Convert to fraction form
    43,322.42/64,970.40 = 18,362/x
  3. Step 3: Cross multiply
    43,322.42x = 64,970.40 × 18,362
  4. Step 4: Simplify right side
    43,322.42x = 1,192,986,484.80
  5. Step 5: Solve for x
    x = 1,192,986,484.80/43,322.42
  6. Step 6: Final answer
    x = 27,537.39

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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.