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Finding the Fourth Proportional to 101,632.68, 152,459.10 and 42,486.84

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Solution

The fourth proportional to 101,632.68, 152,459.10 and 42,486.84 is: 63,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,632.68 : 152,459.10 = 42,486.84 : x
  2. Step 2: Convert to fraction form
    101,632.68/152,459.10 = 42,486.84/x
  3. Step 3: Cross multiply
    101,632.68x = 152,459.10 × 42,486.84
  4. Step 4: Simplify right side
    101,632.68x = 6,477,505,388.24
  5. Step 5: Solve for x
    x = 6,477,505,388.24/101,632.68
  6. Step 6: Final answer
    x = 63,734.47

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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.