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Finding the Fourth Proportional to 56,645.43, 84,962.64 and 17,202.88

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Solution

The fourth proportional to 56,645.43, 84,962.64 and 17,202.88 is: 25,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,645.43 : 84,962.64 = 17,202.88 : x
  2. Step 2: Convert to fraction form
    56,645.43/84,962.64 = 17,202.88/x
  3. Step 3: Cross multiply
    56,645.43x = 84,962.64 × 17,202.88
  4. Step 4: Simplify right side
    56,645.43x = 1,461,602,100.40
  5. Step 5: Solve for x
    x = 1,461,602,100.40/56,645.43
  6. Step 6: Final answer
    x = 25,802.65

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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.