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Finding the Fourth Proportional to 47,041.80, 64,918.42 and 25,823

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Solution

The fourth proportional to 47,041.80, 64,918.42 and 25,823 is: 35,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,041.80 : 64,918.42 = 25,823 : x
  2. Step 2: Convert to fraction form
    47,041.80/64,918.42 = 25,823/x
  3. Step 3: Cross multiply
    47,041.80x = 64,918.42 × 25,823
  4. Step 4: Simplify right side
    47,041.80x = 1,676,388,359.66
  5. Step 5: Solve for x
    x = 1,676,388,359.66/47,041.80
  6. Step 6: Final answer
    x = 35,636.14

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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.