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Finding the Fourth Proportional to 64,812, 89,440.56 and 35,004

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Solution

The fourth proportional to 64,812, 89,440.56 and 35,004 is: 48,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,812 : 89,440.56 = 35,004 : x
  2. Step 2: Convert to fraction form
    64,812/89,440.56 = 35,004/x
  3. Step 3: Cross multiply
    64,812x = 89,440.56 × 35,004
  4. Step 4: Simplify right side
    64,812x = 3,130,777,362.24
  5. Step 5: Solve for x
    x = 3,130,777,362.24/64,812
  6. Step 6: Final answer
    x = 48,305.52

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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.