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Finding the Fourth Proportional to 65,503.32, 98,245.41 and 32,214.45

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Solution

The fourth proportional to 65,503.32, 98,245.41 and 32,214.45 is: 48,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,503.32 : 98,245.41 = 32,214.45 : x
  2. Step 2: Convert to fraction form
    65,503.32/98,245.41 = 32,214.45/x
  3. Step 3: Cross multiply
    65,503.32x = 98,245.41 × 32,214.45
  4. Step 4: Simplify right side
    65,503.32x = 3,164,921,848.17
  5. Step 5: Solve for x
    x = 3,164,921,848.17/65,503.32
  6. Step 6: Final answer
    x = 48,316.97

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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.