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Finding the Fourth Proportional to 64,837.50, 89,475.76 and 35,029.50

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Solution

The fourth proportional to 64,837.50, 89,475.76 and 35,029.50 is: 48,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,837.50 : 89,475.76 = 35,029.50 : x
  2. Step 2: Convert to fraction form
    64,837.50/89,475.76 = 35,029.50/x
  3. Step 3: Cross multiply
    64,837.50x = 89,475.76 × 35,029.50
  4. Step 4: Simplify right side
    64,837.50x = 3,134,291,134.92
  5. Step 5: Solve for x
    x = 3,134,291,134.92/64,837.50
  6. Step 6: Final answer
    x = 48,340.72

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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.