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Finding the Fourth Proportional to 65,120.50, 89,866.83 and 35,312.50

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Solution

The fourth proportional to 65,120.50, 89,866.83 and 35,312.50 is: 48,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,120.50 : 89,866.83 = 35,312.50 : x
  2. Step 2: Convert to fraction form
    65,120.50/89,866.83 = 35,312.50/x
  3. Step 3: Cross multiply
    65,120.50x = 89,866.83 × 35,312.50
  4. Step 4: Simplify right side
    65,120.50x = 3,173,422,434.38
  5. Step 5: Solve for x
    x = 3,173,422,434.38/65,120.50
  6. Step 6: Final answer
    x = 48,731.54

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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.