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Finding the Fourth Proportional to 59,752, 89,628 and 18,199

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Solution

The fourth proportional to 59,752, 89,628 and 18,199 is: 27,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,752 : 89,628 = 18,199 : x
  2. Step 2: Convert to fraction form
    59,752/89,628 = 18,199/x
  3. Step 3: Cross multiply
    59,752x = 89,628 × 18,199
  4. Step 4: Simplify right side
    59,752x = 1,631,139,972
  5. Step 5: Solve for x
    x = 1,631,139,972/59,752
  6. Step 6: Final answer
    x = 27,298.50

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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.