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Finding the Fourth Proportional to 62,100, 93,159.72 and 22,649.76

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Solution

The fourth proportional to 62,100, 93,159.72 and 22,649.76 is: 33,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,100 : 93,159.72 = 22,649.76 : x
  2. Step 2: Convert to fraction form
    62,100/93,159.72 = 22,649.76/x
  3. Step 3: Cross multiply
    62,100x = 93,159.72 × 22,649.76
  4. Step 4: Simplify right side
    62,100x = 2,110,045,299.67
  5. Step 5: Solve for x
    x = 2,110,045,299.67/62,100
  6. Step 6: Final answer
    x = 33,978.19

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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.