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Finding the Fourth Proportional to 65,903.63, 90,946.87 and 35,688.94

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Solution

The fourth proportional to 65,903.63, 90,946.87 and 35,688.94 is: 49,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.63 : 90,946.87 = 35,688.94 : x
  2. Step 2: Convert to fraction form
    65,903.63/90,946.87 = 35,688.94/x
  3. Step 3: Cross multiply
    65,903.63x = 90,946.87 × 35,688.94
  4. Step 4: Simplify right side
    65,903.63x = 3,245,797,070.03
  5. Step 5: Solve for x
    x = 3,245,797,070.03/65,903.63
  6. Step 6: Final answer
    x = 49,250.66

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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.