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Finding the Fourth Proportional to 65,964.92, 91,031.35 and 35,750.98

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Solution

The fourth proportional to 65,964.92, 91,031.35 and 35,750.98 is: 49,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,964.92 : 91,031.35 = 35,750.98 : x
  2. Step 2: Convert to fraction form
    65,964.92/91,031.35 = 35,750.98/x
  3. Step 3: Cross multiply
    65,964.92x = 91,031.35 × 35,750.98
  4. Step 4: Simplify right side
    65,964.92x = 3,254,459,973.22
  5. Step 5: Solve for x
    x = 3,254,459,973.22/65,964.92
  6. Step 6: Final answer
    x = 49,336.22

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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.