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Finding the Fourth Proportional to 64,851, 89,494.38 and 35,043

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Solution

The fourth proportional to 64,851, 89,494.38 and 35,043 is: 48,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,851 : 89,494.38 = 35,043 : x
  2. Step 2: Convert to fraction form
    64,851/89,494.38 = 35,043/x
  3. Step 3: Cross multiply
    64,851x = 89,494.38 × 35,043
  4. Step 4: Simplify right side
    64,851x = 3,136,151,558.34
  5. Step 5: Solve for x
    x = 3,136,151,558.34/64,851
  6. Step 6: Final answer
    x = 48,359.34

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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.