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Finding the Fourth Proportional to 60,102, 90,157.86 and 18,549

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Solution

The fourth proportional to 60,102, 90,157.86 and 18,549 is: 27,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,102 : 90,157.86 = 18,549 : x
  2. Step 2: Convert to fraction form
    60,102/90,157.86 = 18,549/x
  3. Step 3: Cross multiply
    60,102x = 90,157.86 × 18,549
  4. Step 4: Simplify right side
    60,102x = 1,672,338,145.14
  5. Step 5: Solve for x
    x = 1,672,338,145.14/60,102
  6. Step 6: Final answer
    x = 27,825.00

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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.