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Finding the Fourth Proportional to 65,173.76, 89,924.16 and 38,314.88

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Solution

The fourth proportional to 65,173.76, 89,924.16 and 38,314.88 is: 52,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,173.76 : 89,924.16 = 38,314.88 : x
  2. Step 2: Convert to fraction form
    65,173.76/89,924.16 = 38,314.88/x
  3. Step 3: Cross multiply
    65,173.76x = 89,924.16 × 38,314.88
  4. Step 4: Simplify right side
    65,173.76x = 3,445,433,399.50
  5. Step 5: Solve for x
    x = 3,445,433,399.50/65,173.76
  6. Step 6: Final answer
    x = 52,865.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.