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Finding the Fourth Proportional to 79,632.32, 119,444.16 and 24,224

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Solution

The fourth proportional to 79,632.32, 119,444.16 and 24,224 is: 36,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,632.32 : 119,444.16 = 24,224 : x
  2. Step 2: Convert to fraction form
    79,632.32/119,444.16 = 24,224/x
  3. Step 3: Cross multiply
    79,632.32x = 119,444.16 × 24,224
  4. Step 4: Simplify right side
    79,632.32x = 2,893,415,331.84
  5. Step 5: Solve for x
    x = 2,893,415,331.84/79,632.32
  6. Step 6: Final answer
    x = 36,334.69

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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.