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Finding the Fourth Proportional to 59,457, 89,185.50 and 22,521

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Solution

The fourth proportional to 59,457, 89,185.50 and 22,521 is: 33,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,457 : 89,185.50 = 22,521 : x
  2. Step 2: Convert to fraction form
    59,457/89,185.50 = 22,521/x
  3. Step 3: Cross multiply
    59,457x = 89,185.50 × 22,521
  4. Step 4: Simplify right side
    59,457x = 2,008,546,645.50
  5. Step 5: Solve for x
    x = 2,008,546,645.50/59,457
  6. Step 6: Final answer
    x = 33,781.50

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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.