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Finding the Fourth Proportional to 51,459.94, 77,319.06 and 32,748.10

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Solution

The fourth proportional to 51,459.94, 77,319.06 and 32,748.10 is: 49,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,459.94 : 77,319.06 = 32,748.10 : x
  2. Step 2: Convert to fraction form
    51,459.94/77,319.06 = 32,748.10/x
  3. Step 3: Cross multiply
    51,459.94x = 77,319.06 × 32,748.10
  4. Step 4: Simplify right side
    51,459.94x = 2,532,052,308.79
  5. Step 5: Solve for x
    x = 2,532,052,308.79/51,459.94
  6. Step 6: Final answer
    x = 49,204.34

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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.